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230400795395988 = 22347854511188841
BaseRepresentation
bin110100011000110001011101…
…100100001100011110010100
31010012210002201120120111020000
4310120301131210030132110
5220144341312110132423
62134004355245011300
766346623331454550
oct6430613544143624
91105702646514200
10230400795395988
116745a479512558
1221a11274253b30
139b73917a69879
1440c765aa60860
151b983c04c9843
hexd18c5d90c794

230400795395988 has 120 divisors (see below), whose sum is σ = 688366566533184. Its totient is φ = 65827972944000.

The previous prime is 230400795395983. The next prime is 230400795395993. The reversal of 230400795395988 is 889593597004032.

230400795395988 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 0 + 0 + 7 + 9 + 539 + 5 + 9 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (230400795395983) and next prime (230400795395993).

It is a super-2 number, since 2×2304007953959882 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230400795395983) 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, 193208448 + ... + 194397288.

Almost surely, 2230400795395988 is an apocalyptic number.

230400795395988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230400795395988 is an abundant number, since it is smaller than the sum of its proper divisors (457965771137196).

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

230400795395988 is a wasteful number, since it uses less digits than its factorization.

230400795395988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274315 (or 1274304 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 230400795395988 in words is "two hundred thirty trillion, four hundred billion, seven hundred ninety-five million, three hundred ninety-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 85451 170902 256353 341804 512706 598157 769059 1025412 1188841 1196314 1538118 1794471 2307177 2377682 2392628 3076236 3566523 3588942 4614354 4755364 5383413 6921531 7133046 7177884 8321887 9228708 10699569 10766826 13843062 14266092 16150239 16643774 21399138 21533652 24965661 27686124 32098707 32300478 33287548 42798276 48450717 49931322 64197414 64600956 74896983 96296121 96901434 99862644 128394828 149793966 192592242 193802868 224690949 299587932 385184484 449381898 674072847 898763796 1348145694 2696291388 101587652291 203175304582 304762956873 406350609164 609525913746 711113566037 914288870619 1219051827492 1422227132074 1828577741238 2133340698111 2742866611857 2844454264148 3657155482476 4266681396222 5485733223714 6400022094333 8228599835571 8533362792444 10971466447428 12800044188666 16457199671142 19200066282999 25600088377332 32914399342284 38400132565998 57600198848997 76800265131996 115200397697994 230400795395988