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230890649904 = 24333135693001
BaseRepresentation
bin1101011100001000100…
…1111011100100110000
3211001222011111021212000
43113002021323210300
512240331001244104
6254023015534000
722452454066545
oct3270211734460
9731864437760
10230890649904
1189a13830732
12388b898a300
1318a08085b45
14b264930bcc
15601537e639
hex35c227b930

230890649904 has 160 divisors (see below), whose sum is σ = 666249470400. Its totient is φ = 76557312000.

The previous prime is 230890649903. The next prime is 230890649909. The reversal of 230890649904 is 409946098032.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230890649903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76936404 + ... + 76939404.

It is an arithmetic number, because the mean of its divisors is an integer number (4164059190).

Almost surely, 2230890649904 is an apocalyptic number.

230890649904 is a gapful number since it is divisible by the number (24) 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 230890649904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333124735200).

230890649904 is an abundant number, since it is smaller than the sum of its proper divisors (435358820496).

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

230890649904 is a wasteful number, since it uses less digits than its factorization.

230890649904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 230890649904 in words is "two hundred thirty billion, eight hundred ninety million, six hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 313 432 569 626 939 1138 1252 1707 1878 2276 2504 2817 3001 3414 3756 4552 5008 5121 5634 6002 6828 7512 8451 9003 9104 10242 11268 12004 13656 15024 15363 16902 18006 20484 22536 24008 27009 27312 30726 33804 36012 40968 45072 48016 54018 61452 67608 72024 81027 81936 108036 122904 135216 144048 162054 178097 216072 245808 324108 356194 432144 534291 648216 712388 939313 1068582 1296432 1424776 1602873 1707569 1878626 2137164 2817939 2849552 3205746 3415138 3757252 4274328 4808619 5122707 5635878 6411492 6830276 7514504 8453817 8548656 9617238 10245414 11271756 12822984 13660552 15029008 15368121 16907634 19234476 20490828 22543512 25361451 25645968 27321104 30736242 33815268 38468952 40981656 45087024 46104363 50722902 61472484 67630536 76937904 81963312 92208726 101445804 122944968 135261072 184417452 202891608 245889936 368834904 405783216 534469097 737669808 1068938194 1603407291 2137876388 3206814582 4275752776 4810221873 6413629164 8551505552 9620443746 12827258328 14430665619 19240887492 25654516656 28861331238 38481774984 57722662476 76963549968 115445324952 230890649904