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230 (number)

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230 (two hundred [and] thirty) is the natural number following 229 and preceding 231.

Ordinaltwo hundred thirty
Cardinaltwo hundred thirtieth
Factorization[230 = 2 \cdot 5 \cdot 23]
Roman numeralCCXXX
Binary11100110
HexadecimalE6

In mathematics

It is a composite number, with its divisors being 2, 5, 10, 23, 46, and 115. Its factorization makes it a sphenic number. There is no integer with 230 coprimes below it, thus 230 is a nontotient. However, the sum of the coprime counts for the first 27 integers is 230.

There are 230 unique space groups describing all possible crystal symmetries.

In base 10, being divisible by the sum of its digits, 230 is a Harshad number.

In other fields

230 is:

230 - 239

Two hundred thirty-one 231 = 3·7·11, sphenic number, triangular number, hexagonal number, octahedral number, Mertens function returns 0


Two hundred thirty-two 232 = 23·29, decagonal number, Mertens function returns 0, noncototient, refactorable number
Two hundred thirty-three 233 prime, Fibonacci number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, Markov number, self number
Two hundred thirty-four 234 = 2·32·13, Harshad number, nontotient
Two hundred thirty-five 235 = 5·47, sum of three consecutive primes (73 + 79 + 83), Mertens function returns 0, Smarandache-Wellin number, centered triangular number

U-235 is the fissile isotope of uranium used in the first atomic bombs.


Two hundred thirty-six 236 = 22·59, Mertens function returns 0, nontotient
Two hundred thirty-seven 237 = 3·79
Two hundred and thirty-eight 238 = 2·7·17, sphenic number, sum of the first thirteen primes, Mertens function returns 0, untouchable number. Also, the designation of United States Interstate 238, the only three-digit designated Interstate that is not a spur route of a larger Interstate.

U-238 is the non-fissile isotope of uranium that is the heaviest isotope of any material available through extraction from minerals.


Two hundred thirty-nine has its own article.

 


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