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230127332325 = 35211974636211
BaseRepresentation
bin1101011001010010101…
…0000110101111100101
3210222222222011201222120
43112110222012233211
512232300044113300
6253415151220153
722424525023062
oct3262452065745
9728888151876
10230127332325
1189661974960
1238725217659
1318915ba7737
14b1d13d3c69
155ebd3513a0
hex3594a86be5

230127332325 has 96 divisors (see below), whose sum is σ = 420318431232. Its totient is φ = 110170368000.

The previous prime is 230127332299. The next prime is 230127332329. The reversal of 230127332325 is 523233721032.

It is not a de Polignac number, because 230127332325 - 212 = 230127328229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230127332329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37048470 + ... + 37054680.

It is an arithmetic number, because the mean of its divisors is an integer number (4378316992).

Almost surely, 2230127332325 is an apocalyptic number.

230127332325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230127332325 is a deficient number, since it is larger than the sum of its proper divisors (190191098907).

230127332325 is a wasteful number, since it uses less digits than its factorization.

230127332325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The spelling of 230127332325 in words is "two hundred thirty billion, one hundred twenty-seven million, three hundred thirty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 97 165 275 291 463 485 825 1067 1389 1455 2315 2425 3201 5093 5335 6211 6945 7275 11575 15279 16005 18633 25465 26675 31055 34725 44911 68321 76395 80025 93165 127325 134733 155275 204963 224555 341605 381975 465825 494021 602467 673665 1024815 1122775 1482063 1708025 1807401 2470105 2875693 3012335 3368325 5124075 6627137 7410315 8627079 9037005 12350525 14378465 15061675 19881411 31632623 33135685 37051575 43135395 45185025 71892325 94897869 99407055 158163115 165678425 215676975 278942221 474489345 497035275 790815575 836826663 1394711105 2372446725 3068364431 4184133315 6973555525 9205093293 15341822155 20920666575 46025466465 76709110775 230127332325