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230456116 = 221121972417
BaseRepresentation
bin11011011110001…
…11101100110100
3121001122101100201
431233013230310
5432444043431
634511250244
75465562502
oct1557075464
9531571321
10230456116
111090a5100
1265219984
133898ba87
142286d672
1515373461
hexdbc7b34

230456116 has 36 divisors (see below), whose sum is σ = 445729284. Its totient is φ = 104177920.

The previous prime is 230456071. The next prime is 230456119. The reversal of 230456116 is 611654032.

It can be written as a sum of positive squares in 2 ways, for example, as 225120016 + 5336100 = 15004^2 + 2310^2 .

It is a super-2 number, since 2×2304561162 = 106220042803610912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230456119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94140 + ... + 96556.

It is an arithmetic number, because the mean of its divisors is an integer number (12381369).

Almost surely, 2230456116 is an apocalyptic number.

It is an amenable number.

230456116 is a deficient number, since it is larger than the sum of its proper divisors (215273168).

230456116 is a wasteful number, since it uses less digits than its factorization.

230456116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 230456116 is about 15180.7811393222. The cubic root of 230456116 is about 613.0973129627.

It can be divided in two parts, 23045 and 6116, that added together give a triangular number (29161 = T241).

The spelling of 230456116 in words is "two hundred thirty million, four hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 121 197 242 394 484 788 2167 2417 4334 4834 8668 9668 23837 26587 47674 53174 95348 106348 292457 476149 584914 952298 1169828 1904596 5237639 10475278 20950556 57614029 115228058 230456116