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231796608 = 273738269
BaseRepresentation
bin11011101000011…
…10111110000000
3121011011111011120
431310032332000
5433314442413
635000112240
75513144601
oct1564167600
9534144146
10231796608
1110993024a
1265765680
133903ac74
1422adbda8
151553a723
hexdd0ef80

231796608 has 64 divisors (see below), whose sum is σ = 624219600. Its totient is φ = 76197888.

The previous prime is 231796589. The next prime is 231796633. The reversal of 231796608 is 806697132.

It is a happy number.

231796608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 231796608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23898 + ... + 32166.

Almost surely, 2231796608 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 231796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312109800).

231796608 is an abundant number, since it is smaller than the sum of its proper divisors (392422992).

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

231796608 is an equidigital number, since it uses as much as digits as its factorization.

231796608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8359 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 231796608 is about 15224.8680782462. The cubic root of 231796608 is about 614.2837480789.

The spelling of 231796608 in words is "two hundred thirty-one million, seven hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1752 2336 3504 4672 7008 8269 9344 14016 16538 24807 28032 33076 49614 66152 99228 132304 198456 264608 396912 529216 603637 793824 1058432 1207274 1587648 1810911 2414548 3175296 3621822 4829096 7243644 9658192 14487288 19316384 28974576 38632768 57949152 77265536 115898304 231796608