210 (number)
Encyclopedia
210 is the natural number
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...

 following 209
209 (number)
209 is the natural number following 208 and preceding 210. It is written as "two hundred and nine".-In mathematics:* 209 is a highly cototient number* 209 is a Harshad number* 209 is a self number* 209=16+25+34+43+52+61-In other fields:...

 and preceding 211
211 (number)
211 is the natural number between 210 and 212. It is also a prime number.-In mathematics:211 is an odd number.211 is a primorial prime, sum of three consecutive primes , Chen prime, centered decagonal prime, and self prime....

.
Cardinal
Cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number – the number of elements in the set. The transfinite cardinal numbers describe the sizes of infinite...


Two hundred [and] ten
Ordinal
Ordinal number
In set theory, an ordinal number, or just ordinal, is the order type of a well-ordered set. They are usually identified with hereditarily transitive sets. Ordinals are an extension of the natural numbers different from integers and from cardinals...


210th
Two hundred [and] tenth
Factorization
Factorization
In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original...


Divisor
Divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer which divides n without leaving a remainder.-Explanation:...

s
2, 3, 5, 6, 7, 10
10 (number)
10 is an even natural number following 9 and preceding 11.-In mathematics:Ten is a composite number, its proper divisors being , and...

, 14
14 (number)
14 is the natural number following 13 and preceding 15.In speech, the numbers 14 and 40 are often confused. When carefully enunciated, they differ in which syllable is stressed: 14 vs 40...

, 15
15 (number)
15 is the natural number following 14 and preceding 16. In English, it is the smallest natural number with seven letters in its spelled name....

,
21
21 (number)
21 is the natural number following 20 and preceding 22.-In mathematics:Twenty-one is the fifth discrete Semiprime and the second in the family. With 22 it forms the second discrete Semiprime pair...

, 30
30 (number)
30 is the natural number following 29 and preceding 31.-In mathematics:30 is the sum of the first four squares, which makes it a square pyramidal number.It is a primorial and is the smallest Giuga number....

, 35
35 (number)
35 is the natural number following 34 and preceding 36.- In mathematics :35 is the sum of the first five triangular numbers, making it a tetrahedral number....

, 42
42 (number)
42 is the natural number immediately following 41 and directly preceding 43. The number has received considerable attention in popular culture as a result of its central appearance in The Hitchhiker's Guide to the Galaxy as the "Answer to the Ultimate Question of Life, the Universe, and...

, 70
70 (number)
70 is the natural number following 69 and preceding 71.-In mathematics:Its factorization makes it a sphenic number. 70 is a Pell number and a generalized heptagonal number, one of only two numbers to be both. Also, it is the seventh pentagonal number and the fourth 13-gonal number, as well as the...

, 105
105 (number)
105 is the natural number following 104 and preceding 106.-In mathematics:105 is a triangular number, a 12-gonal number and a Zeisel number. It is a sphenic number, and is the product of three consecutive prime numbers. 105 is the double factorial of 7...

Roman numeral  CCX
Binary
Binary numeral system
The binary numeral system, or base-2 number system, represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2...

 
11010010
Duodecimal
Duodecimal
The duodecimal system is a positional notation numeral system using twelve as its base. In this system, the number ten may be written as 'A', 'T' or 'X', and the number eleven as 'B' or 'E'...

 
156
Hexadecimal
Hexadecimal
In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen...

 
D2

In mathematics

210 is a composite number
Composite number
A composite number is a positive integer which has a positive divisor other than one or itself. In other words a composite number is any positive integer greater than one that is not a prime number....

, an abundant number, and the product of the first four prime number
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...

s (2, 3, 5, and 7), and thus a primorial
Primorial
In mathematics, and more particularly in number theory, primorial is a function from natural numbers to natural numbers similar to the factorial function, but rather than multiplying successive positive integers, only successive prime numbers are multiplied...

. It is also the sum of eight consecutive prime numbers (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 = 210).

It is a triangular number
Triangular number
A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

 (following 190
190 (number)
190 is the natural number following 189 and preceding 191.-In mathematics:* 190 is an even number* 190 is a centered nonagonal number* 190 is a composite number* 190 is a deficient number, as 170 is less than 190...

 and preceding 231), a pentagonal number
Pentagonal number
A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotationally symmetrical...

 (following 176
176 (number)
176 is the natural number following 175 and preceding 177.-In mathematics:* 176 is an even number* 176 is an abundant number, as 196 is greater than 176* 176 is a cake number* 176 is a composite number...

 and preceding 247), and the second smallest to be both triangular and pentagonal (the third is 40755).

It is also a pentatope number
Pentatope number
A pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1 either from left to right or from right to left.The first few numbers of this kind are :...

, a pronic number
Pronic number
A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

, a Harshad number
Harshad number
A Harshad number, or Niven number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "Harshad" comes from the Sanskrit + , meaning joy-giver. The Niven...

, and an untouchable number
Untouchable number
An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer ....

. 210 is also the first 71-gonal
Polygonal number
In mathematics, a polygonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. The dots were thought of as alphas . These are one type of 2-dimensional figurate numbers.- Definition and examples :...

 number, preceding 418.

See also: AD 210
210
Year 210 was a common year starting on Monday of the Julian calendar. At the time, it was known as the Year of the Consulship of Faustinus and Rufinus...

or 210 BC
210 BC
Year 210 BC was a year of the pre-Julian Roman calendar. At the time it was known as the Year of the Consulship of Marcellus and Laevinus...

.

211–219

Two hundred [and] eleven
211 (number)
211 is the natural number between 210 and 212. It is also a prime number.-In mathematics:211 is an odd number.211 is a primorial prime, sum of three consecutive primes , Chen prime, centered decagonal prime, and self prime....

 has its own article.
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Two hundred [and] twelve
212 (number)
212 is the natural number following 211 and preceding 213.- In mathematics :* 22·53* totient sum for the first 26 integers* In Fahrenheit degrees, the boiling point of water at sea level- In other fields :...

 has its own article.
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Two hundred [and] thirteen
213 (number)
213 is the number following 212 and preceding 214.- Other uses :* Area code 213 is one of the first three area codes created in California. This was the primary telephone area code for Los Angeles County, California during the 1960s and 1970s. Eventually it would be reduced in size mostly to...

 has its own article.
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Two hundred [and] fourteen
214 (number)
214 is the natural number following 213 and preceding 215.-In mathematics:*214 is a composite number and a 37-gonal number.*214!! − 1 is a 205-digit prime number.*The 11th perfect number 2106× has 214 divisors....

 has its own article.
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Two hundred [and] fifteen
215 (number)
215 is the natural number following 214 and preceding 216.-In mathematics:*215 is a composite number and a semiprime.*215 = ^3 - 1...

 has its own article.
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Two hundred [and] sixteen
216 (number)
216 is the natural number following 215 and preceding 217.Since 216 = 3^3 + 4^3 + 5^3 = 6^3, it is the smallest cube that's also the sum of three cubes . It is also the sum of a twin prime...

 has its own article.
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Two hundred [and] seventeen
217 (number)
217 is the natural number following 216 and preceding 218.Here are the representations of 217 in other numeral systems: 217 base representation of 217 2 11011001 8 331 16 D9...

 has its own article.
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Two hundred [and] eighteen
218 (number)
218 is the natural number following 217 and preceding 219.*Mertens function = 3, a record high.*218 is both nontotient and noncototient....

 has its own article.
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Two hundred [and] nineteen
219 (number)
219 is the natural number following 218 and preceding 220.-Mathematics:*Mertens function = 4, a record high.*There are 219 partially ordered sets on four labeled elements....

has its own article.
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