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230489583264 = 25331154923099
BaseRepresentation
bin1101011010101000111…
…1111110111010100000
3211000221012210222212000
43112222033332322200
512234020313131024
6253515131404000
722436514063213
oct3265217767240
9730835728760
10230489583264
11898283a73a6
12388065b3600
1318972c5cbc5
14b22756d77a
155ee0059cc9
hex35aa3feea0

230489583264 has 96 divisors (see below), whose sum is σ = 672348600000. Its totient is φ = 76819882752.

The previous prime is 230489583251. The next prime is 230489583283. The reversal of 230489583264 is 462385984032.

230489583264 is a `hidden beast` number, since 2 + 30 + 4 + 8 + 9 + 583 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 230489583264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9966787 + ... + 9989885.

It is an arithmetic number, because the mean of its divisors is an integer number (7003631250).

Almost surely, 2230489583264 is an apocalyptic number.

230489583264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230489583264 is an abundant number, since it is smaller than the sum of its proper divisors (441859016736).

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

230489583264 is a wasteful number, since it uses less digits than its factorization.

230489583264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34667 (or 34653 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 230489583264 in words is "two hundred thirty billion, four hundred eighty-nine million, five hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11549 23098 23099 34647 46196 46198 69294 69297 92392 92396 103941 138588 138594 184784 184792 207882 207891 277176 277188 311823 369568 369584 415764 415782 554352 554376 623646 623673 739168 831528 831564 1108704 1108752 1247292 1247346 1663056 1663128 2217504 2494584 2494692 3326112 3326256 4989168 4989384 6652512 9978336 9978768 19957536 266770351 533540702 800311053 1067081404 1600622106 2134162808 2400933159 3201244212 4268325616 4801866318 6402488424 7202799477 8536651232 9603732636 12804976848 14405598954 19207465272 25609953696 28811197908 38414930544 57622395816 76829861088 115244791632 230489583264