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230875824 = 24325119163
BaseRepresentation
bin11011100001011…
…10001010110000
3121002102201002110
431300232022300
5433101011244
634524245320
75502261234
oct1560561260
9532381073
10230875824
11109361473
12653a0840
1338aa7b1a
142293c5c4
15154079b9
hexdc2e2b0

230875824 has 40 divisors (see below), whose sum is σ = 598836672. Its totient is φ = 76648000.

The previous prime is 230875781. The next prime is 230875867. The reversal of 230875824 is 428578032.

It is an interprime number because it is at equal distance from previous prime (230875781) and next prime (230875867).

It is a super-2 number, since 2×2308758242 = 106607292215357952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2467 + ... + 21629.

Almost surely, 2230875824 is an apocalyptic number.

230875824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230875824 is an abundant number, since it is smaller than the sum of its proper divisors (367960848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230875824 is a wasteful number, since it uses less digits than its factorization.

230875824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19425 (or 19419 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 230875824 is about 15194.5985139457. The cubic root of 230875824 is about 613.4692793590.

The spelling of 230875824 in words is "two hundred thirty million, eight hundred seventy-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 251 502 753 1004 1506 2008 3012 4016 6024 12048 19163 38326 57489 76652 114978 153304 229956 306608 459912 919824 4809913 9619826 14429739 19239652 28859478 38479304 57718956 76958608 115437912 230875824