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230337961854 = 2371113311237139
BaseRepresentation
bin1101011010000100110…
…1100101111101111110
3211000112122111211101020
43112201031211331332
512233213004234404
6253452113525010
722432663241250
oct3264115457576
9730478454336
10230337961854
118975a857a50
1238783873766
131894a713cb0
14b211381cd0
155ed1aa9ed9
hex35a1365f7e

230337961854 has 128 divisors (see below), whose sum is σ = 638483005440. Its totient is φ = 53444361600.

The previous prime is 230337961817. The next prime is 230337961871. The reversal of 230337961854 is 458169733032.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230337961797 and 230337961806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432384 + ... + 804755.

It is an arithmetic number, because the mean of its divisors is an integer number (4988148480).

It is a 1-persistent number, because it is pandigital, but 2⋅230337961854 = 460675923708 is not.

Almost surely, 2230337961854 is an apocalyptic number.

230337961854 is an abundant number, since it is smaller than the sum of its proper divisors (408145043586).

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

230337961854 is a wasteful number, since it uses less digits than its factorization.

230337961854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237206.

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 230337961854 in words is "two hundred thirty billion, three hundred thirty-seven million, nine hundred sixty-one thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 231 273 286 341 403 429 434 462 546 651 682 806 858 1001 1023 1209 1302 2002 2046 2387 2418 2821 3003 4433 4774 5642 6006 7161 8463 8866 13299 14322 16926 26598 31031 62062 93093 186186 1237139 2474278 3711417 7422834 8659973 13608529 16082807 17319946 25979919 27217058 32165614 38351309 40825587 48248421 51959838 76702618 81651174 95259703 96496842 112579649 115053927 176910877 190519406 225159298 230107854 268459163 285779109 337738947 353821754 421864399 498567017 530732631 536918326 571558218 675477894 805377489 843728798 997134034 1061465262 1238376139 1265593197 1495701051 1610754978 2476752278 2531186394 2953050793 2991402102 3489969119 3715128417 5484237187 5906101586 6979938238 7430256834 8859152379 10469907357 10968474374 16452711561 17718304758 20939814714 32905423122 38389660309 76779320618 115168980927 230337961854