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230568864 = 25317313883
BaseRepresentation
bin11011011111000…
…11001110100000
3121001212010000120
431233203032200
5433011200424
634513520240
75466542301
oct1557431640
9531763016
10230568864
11109171889
1265273080
13389cb1a6
142289c7a8
1515396a79
hexdbe33a0

230568864 has 48 divisors (see below), whose sum is σ = 608785632. Its totient is φ = 76406528.

The previous prime is 230568823. The next prime is 230568883. The reversal of 230568864 is 468865032.

It is a tau number, because it is divible by the number of its divisors (48).

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, 9667 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (12683034).

Almost surely, 2230568864 is an apocalyptic number.

230568864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304392816).

230568864 is an abundant number, since it is smaller than the sum of its proper divisors (378216768).

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

230568864 is a wasteful number, since it uses less digits than its factorization.

230568864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14069 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 230568864 is about 15184.4941963834. The cubic root of 230568864 is about 613.1972802612.

The spelling of 230568864 in words is "two hundred thirty million, five hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 13883 16608 27766 41649 55532 83298 111064 166596 222128 333192 444256 666384 1332768 2401759 4803518 7205277 9607036 14410554 19214072 28821108 38428144 57642216 76856288 115284432 230568864