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230165352 = 23323196741
BaseRepresentation
bin11011011100000…
…00101101101000
3121001002121111200
431232000231220
5432410242402
634501124200
75463242004
oct1556005550
9531077450
10230165352
11108a166aa
12650b9660
13388b9621
14227d5704
151531721c
hexdb80b68

230165352 has 24 divisors (see below), whose sum is σ = 623364690. Its totient is φ = 76721760.

The previous prime is 230165339. The next prime is 230165389. The reversal of 230165352 is 253561032.

230165352 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 653 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163481796 + 66683556 = 12786^2 + 8166^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2301653522 = 105952178522567808, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1598299 + ... + 1598442.

Almost surely, 2230165352 is an apocalyptic number.

It is an amenable number.

230165352 is an abundant number, since it is smaller than the sum of its proper divisors (393199338).

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

230165352 is a wasteful number, since it uses less digits than its factorization.

230165352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196753 (or 3196746 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 230165352 is about 15171.2014026576. The cubic root of 230165352 is about 612.8393583535.

The spelling of 230165352 in words is "two hundred thirty million, one hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3196741 6393482 9590223 12786964 19180446 25573928 28770669 38360892 57541338 76721784 115082676 230165352