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230057293032 = 233271513022933
BaseRepresentation
bin1101011001000001111…
…0111011010011101000
3210222211002101101010200
43112100132323103220
512232124131334112
6253404210112200
722423014503640
oct3262036732350
9728732341120
10230057293032
1189626387346
123870587b660
1318904524078
14b1c5da1520
155eb7118cdc
hex35907bb4e8

230057293032 has 96 divisors (see below), whose sum is σ = 716798110080. Its totient is φ = 65295331200.

The previous prime is 230057292989. The next prime is 230057293097. The reversal of 230057293032 is 230392750032.

230057293032 is a `hidden beast` number, since 23 + 0 + 0 + 572 + 9 + 30 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1435363 + ... + 1587570.

It is an arithmetic number, because the mean of its divisors is an integer number (7466646980).

Almost surely, 2230057293032 is an apocalyptic number.

It is an amenable number.

230057293032 is an abundant number, since it is smaller than the sum of its proper divisors (486740817048).

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

230057293032 is a wasteful number, since it uses less digits than its factorization.

230057293032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023103 (or 3023096 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 230057293032 in words is "two hundred thirty billion, fifty-seven million, two hundred ninety-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 453 504 604 906 1057 1208 1359 1812 2114 2718 3171 3624 4228 5436 6342 8456 9513 10872 12684 19026 25368 38052 76104 3022933 6045866 9068799 12091732 18137598 21160531 24183464 27206397 36275196 42321062 54412794 63481593 72550392 84642124 108825588 126963186 169284248 190444779 217651176 253926372 380889558 456462883 507852744 761779116 912925766 1369388649 1523558232 1825851532 2738777298 3195240181 3651703064 4108165947 5477554596 6390480362 8216331894 9585720543 10955109192 12780960724 16432663788 19171441086 25561921448 28757161629 32865327576 38342882172 57514323258 76685764344 115028646516 230057293032