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230114883264 = 2637171216431
BaseRepresentation
bin1101011001001111101…
…0100111011011000000
3210222222002202021002020
43112103322213123000
512232233402231024
6253414024321440
722424314143330
oct3262372473300
9728862667066
10230114883264
1189655941782
1238721013280
1318913439226
14b1cd8b30c0
155ebc1e2979
hex3593ea76c0

230114883264 has 56 divisors (see below), whose sum is σ = 695823579648. Its totient is φ = 65747109120.

The previous prime is 230114883263. The next prime is 230114883269. The reversal of 230114883264 is 462388411032.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (230114883263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85606872 + ... + 85609559.

Almost surely, 2230114883264 is an apocalyptic number.

230114883264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230114883264 is an abundant number, since it is smaller than the sum of its proper divisors (465708696384).

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

230114883264 is a wasteful number, since it uses less digits than its factorization.

230114883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171216453 (or 171216443 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 230114883264 in words is "two hundred thirty billion, one hundred fourteen million, eight hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 171216431 342432862 513649293 684865724 1027298586 1198515017 1369731448 2054597172 2397030034 2739462896 3595545051 4109194344 4794060068 5478925792 7191090102 8218388688 9588120136 10957851584 14382180204 16436777376 19176240272 28764360408 32873554752 38352480544 57528720816 76704961088 115057441632 230114883264