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230874860520 = 23345137520129
BaseRepresentation
bin1101011100000100110…
…1101100101111101000
3211001221001210002220000
43113001031230233220
512240312431014040
6254021253303000
722452202635423
oct3270115545750
9731831702800
10230874860520
1189a05926957
12388b3634a60
1318a04a18105
14b2627c09ba
156013cb1130
hex35c136cbe8

230874860520 has 160 divisors (see below), whose sum is σ = 781661766600. Its totient is φ = 61117120512.

The previous prime is 230874860509. The next prime is 230874860521. The reversal of 230874860520 is 25068478032.

230874860520 is a `hidden beast` number, since 2 + 3 + 0 + 87 + 48 + 6 + 0 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217896638436 + 12978222084 = 466794^2 + 113922^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (230874860521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 183816 + ... + 703944.

Almost surely, 2230874860520 is an apocalyptic number.

230874860520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230874860520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390830883300).

230874860520 is an abundant number, since it is smaller than the sum of its proper divisors (550786906080).

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

230874860520 is a wasteful number, since it uses less digits than its factorization.

230874860520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520289 (or 520276 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 230874860520 in words is "two hundred thirty billion, eight hundred seventy-four million, eight hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 137 162 180 216 270 274 324 360 405 411 540 548 648 685 810 822 1080 1096 1233 1370 1620 1644 2055 2466 2740 3240 3288 3699 4110 4932 5480 6165 7398 8220 9864 11097 12330 14796 16440 18495 22194 24660 29592 36990 44388 49320 55485 73980 88776 110970 147960 221940 443880 520129 1040258 1560387 2080516 2600645 3120774 4161032 4681161 5201290 6241548 7801935 9362322 10402580 12483096 14043483 15603870 18724644 20805160 23405805 28086966 31207740 37449288 42130449 46811610 56173932 62415480 70217415 71257673 84260898 93623220 112347864 140434830 142515346 168521796 187246440 210652245 213773019 280869660 285030692 337043592 356288365 421304490 427546038 561739320 570061384 641319057 712576730 842608980 855092076 1068865095 1282638114 1425153460 1685217960 1710184152 1923957171 2137730190 2565276228 2850306920 3206595285 3847914342 4275460380 5130552456 5771871513 6413190570 7695828684 8550920760 9619785855 11543743026 12826381140 15391657368 19239571710 23087486052 25652762280 28859357565 38479143420 46174972104 57718715130 76958286840 115437430260 230874860520