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230924952 = 23333134487
BaseRepresentation
bin11011100001110…
…10001010011000
3121002112012111000
431300322022120
5433104044302
634525305000
75502554406
oct1560721230
9532465430
10230924952
11109395375
1265405160
1338ac42ab
1422952476
151541731c
hexdc3a298

230924952 has 64 divisors (see below), whose sum is σ = 662169600. Its totient is φ = 74489760.

The previous prime is 230924929. The next prime is 230924963. The reversal of 230924952 is 259429032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10548 + ... + 23939.

It is an arithmetic number, because the mean of its divisors is an integer number (10346400).

Almost surely, 2230924952 is an apocalyptic number.

It is an amenable number.

230924952 is an abundant number, since it is smaller than the sum of its proper divisors (431244648).

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

230924952 is a wasteful number, since it uses less digits than its factorization.

230924952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34533 (or 34523 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230924952 is about 15196.2150550721. The cubic root of 230924952 is about 613.5127895900.

It can be divided in two parts, 2309 and 24952, that added together give a triangular number (27261 = T233).

The spelling of 230924952 in words is "two hundred thirty million, nine hundred twenty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 34487 68974 103461 137948 206922 275896 310383 413844 620766 827688 931149 1069097 1241532 1862298 2138194 2483064 3207291 3724596 4276388 6414582 7449192 8552776 9621873 12829164 19243746 25658328 28865619 38487492 57731238 76974984 115462476 230924952