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232016008 = 23729142867
BaseRepresentation
bin11011101010001…
…00100010001000
3121011120122010111
431311010202020
5433344003013
635004524104
75515050340
oct1565044210
9534518114
10232016008
11109a70074
1265850634
13390b6aa3
1422b57d20
151558073d
hexdd44888

232016008 has 32 divisors (see below), whose sum is σ = 514324800. Its totient is φ = 96005952.

The previous prime is 232015999. The next prime is 232016023. The reversal of 232016008 is 800610232.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 232016008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69810 + ... + 73057.

It is an arithmetic number, because the mean of its divisors is an integer number (16072650).

Almost surely, 2232016008 is an apocalyptic number.

232016008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

232016008 is an abundant number, since it is smaller than the sum of its proper divisors (282308792).

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

232016008 is a wasteful number, since it uses less digits than its factorization.

232016008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142909 (or 142905 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 232016008 is about 15232.0716910078. The cubic root of 232016008 is about 614.4774974695.

The spelling of 232016008 in words is "two hundred thirty-two million, sixteen thousand, eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 142867 285734 571468 1000069 1142936 2000138 4000276 4143143 8000552 8286286 16572572 29002001 33145144 58004002 116008004 232016008