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230332464233032 = 237217197175450229
BaseRepresentation
bin110100010111110001110100…
…101101011111101001001000
31010012112120100110102202101211
4310113301310231133221020
5220142231341320424112
62133513135011022504
766341654120246200
oct6427616455375110
91105476313382354
10230332464233032
11674334a4339457
12219bbb8429aa34
139b6a3482aa375
1440c421793b400
151b967216640a7
hexd17c74b5fa48

230332464233032 has 96 divisors (see below), whose sum is σ = 534635449860600. Its totient is φ = 92435601721344.

The previous prime is 230332464232933. The next prime is 230332464233087.

230332464233032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 228791822249956 + 1540641983076 = 15125866^2 + 1241226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86412307 + ... + 89037922.

Almost surely, 2230332464233032 is an apocalyptic number.

It is an amenable number.

230332464233032 is an abundant number, since it is smaller than the sum of its proper divisors (304302985627568).

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

230332464233032 is a wasteful number, since it uses less digits than its factorization.

230332464233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175450463 (or 175450452 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 40.

The spelling of 230332464233032 in words is "two hundred thirty trillion, three hundred thirty-two billion, four hundred sixty-four million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 197 238 392 394 476 788 833 952 1379 1576 1666 2758 3332 3349 5516 6664 6698 9653 11032 13396 19306 23443 26792 38612 46886 77224 93772 164101 187544 328202 656404 1312808 175450229 350900458 701800916 1228151603 1403601832 2456303206 2982653893 4912606412 5965307786 8597061221 9825212824 11930615572 17194122442 20878577251 23861231144 34388244884 34563695113 41757154502 68776489768 69127390226 83514309004 138254780452 146150040757 167028618008 241945865791 276509560904 292300081514 483891731582 584600163028 587582816921 967783463164 1169200326056 1175165633842 1693621060537 1935566926328 2350331267684 3387242121074 4113079718447 4700662535368 6774484242148 8226159436894 13548968484296 16452318873788 28791558029129 32904637747576 57583116058258 115166232116516 230332464233032