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232234515133152 = 25371721200805971
BaseRepresentation
bin110100110011011101001111…
…110001110111001011100000
31010110021101212122202210011220
4310303131033301313023200
5220414412241333230102
62141531021410535040
766626250531164340
oct6463351761671340
91113241778683156
10232234515133152
1167aa71174a6814
1222068731297480
139c7780bbbb36c
14414c2d38b4d20
151bcae454c11bc
hexd3374fc772e0

232234515133152 has 96 divisors (see below), whose sum is σ = 697108373708544. Its totient is φ = 66314163532800.

The previous prime is 232234515133139. The next prime is 232234515133219. The reversal of 232234515133152 is 251331515432232.

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 (42).

It is a congruent number.

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, 99246474 + ... + 101559497.

It is an arithmetic number, because the mean of its divisors is an integer number (7261545559464).

Almost surely, 2232234515133152 is an apocalyptic number.

It is an amenable number.

232234515133152 is an abundant number, since it is smaller than the sum of its proper divisors (464873858575392).

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

232234515133152 is a wasteful number, since it uses less digits than its factorization.

232234515133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200807712 (or 200807704 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 232234515133152 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, five hundred fifteen million, one hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1721 3442 5163 6884 10326 12047 13768 20652 24094 27536 36141 41304 48188 55072 72282 82608 96376 144564 165216 192752 289128 385504 578256 1156512 200805971 401611942 602417913 803223884 1204835826 1405641797 1606447768 2409671652 2811283594 3212895536 4216925391 4819343304 5622567188 6425791072 8433850782 9638686608 11245134376 16867701564 19277373216 22490268752 33735403128 44980537504 67470806256 134941612512 345587076091 691174152182 1036761228273 1382348304364 2073522456546 2419109532637 2764696608728 4147044913092 4838219065274 5529393217456 7257328597911 8294089826184 9676438130548 11058786434912 14514657195822 16588179652368 19352876261096 29029314391644 33176359304736 38705752522192 58058628783288 77411505044384 116117257566576 232234515133152