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231447215328 = 2537379308527
BaseRepresentation
bin1101011110001101010…
…1000011110011100000
3211010101221202202002020
43113203111003303200
512243000441342303
6254154141021440
722502322604350
oct3274325036340
9733357682066
10231447215328
118a179a1255a
1238a33254880
1318a964847b4
14b2b880cb60
15604916ca53
hex35e3543ce0

231447215328 has 96 divisors (see below), whose sum is σ = 713107713024. Its totient is φ = 64340531712.

The previous prime is 231447215299. The next prime is 231447215333. The reversal of 231447215328 is 823512744132.

231447215328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 231447215328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4629400 + ... + 4679127.

It is an arithmetic number, because the mean of its divisors is an integer number (7428205344).

Almost surely, 2231447215328 is an apocalyptic number.

231447215328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

231447215328 is an abundant number, since it is smaller than the sum of its proper divisors (481660497696).

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

231447215328 is a wasteful number, since it uses less digits than its factorization.

231447215328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308584 (or 9308576 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 231447215328 in words is "two hundred thirty-one billion, four hundred forty-seven million, two hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 9308527 18617054 27925581 37234108 55851162 65159689 74468216 111702324 130319378 148936432 195479067 223404648 260638756 297872864 344415499 390958134 446809296 521277512 688830998 781916268 893618592 1033246497 1042555024 1377661996 1563832536 2066492994 2085110048 2410908493 2755323992 3127665072 4132985988 4821816986 5510647984 6255330144 7232725479 8265971976 9643633972 11021295968 14465450958 16531943952 19287267944 28930901916 33063887904 38574535888 57861803832 77149071776 115723607664 231447215328