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232985032 = 23723533413
BaseRepresentation
bin11011110001100…
…01000111001000
3121020101212101021
431320301013020
5434121010112
635041402224
75526224440
oct1570610710
9536355337
10232985032
1110a572115
1266039374
1339365b87
1422d2b120
15156c2907
hexde311c8

232985032 has 64 divisors (see below), whose sum is σ = 530945280. Its totient is φ = 93679872.

The previous prime is 232985023. The next prime is 232985059. The reversal of 232985032 is 230589232.

It is an alternating number because its digits alternate between even and odd.

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, 66558 + ... + 69970.

It is an arithmetic number, because the mean of its divisors is an integer number (8296020).

Almost surely, 2232985032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232985032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265472640).

232985032 is an abundant number, since it is smaller than the sum of its proper divisors (297960248).

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

232985032 is a wasteful number, since it uses less digits than its factorization.

232985032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 232985032 is about 15263.8472214576. The cubic root of 232985032 is about 615.3317724273.

The spelling of 232985032 in words is "two hundred thirty-two million, nine hundred eighty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 53 56 92 106 161 184 212 322 371 424 644 742 1219 1288 1484 2438 2968 3413 4876 6826 8533 9752 13652 17066 23891 27304 34132 47782 68264 78499 95564 156998 180889 191128 313996 361778 549493 627992 723556 1098986 1266223 1447112 2197972 2532446 4160447 4395944 5064892 8320894 10129784 16641788 29123129 33283576 58246258 116492516 232985032