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256233241560 = 233523611315187
BaseRepresentation
bin1110111010100010110…
…0001111101111011000
3220111101100001100001210
43232220230033233120
513144231202212220
6313413435343120
724340461421452
oct3565054175730
9814340040053
10256233241560
1199738a9195a
12417abbb1aa0
131b2165804ca
14c58a5b72d2
1569ea1756e0
hex3ba8b0fbd8

256233241560 has 128 divisors (see below), whose sum is σ = 802305492480. Its totient is φ = 65343049728.

The previous prime is 256233241543. The next prime is 256233241597. The reversal of 256233241560 is 65142332652.

It is a super-2 number, since 2×2562332415602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16864287 + ... + 16879473.

It is an arithmetic number, because the mean of its divisors is an integer number (6268011660).

Almost surely, 2256233241560 is an apocalyptic number.

256233241560 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 256233241560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401152746240).

256233241560 is an abundant number, since it is smaller than the sum of its proper divisors (546072250920).

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

256233241560 is a wasteful number, since it uses less digits than its factorization.

256233241560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21337 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 256233241560 in words is "two hundred fifty-six billion, two hundred thirty-three million, two hundred forty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 6113 12226 15187 18339 24452 30374 30565 36678 45561 48904 60748 61130 73356 75935 91122 91695 121496 122260 140599 146712 151870 182244 183390 227805 244520 281198 303740 349301 364488 366780 421797 455610 562396 607480 698602 702995 733560 843594 911220 1047903 1124792 1397204 1405990 1687188 1746505 1822440 2095806 2108985 2794408 2811980 3374376 3493010 4191612 4217970 5239515 5623960 6986020 8383224 8435940 10479030 13972040 16871880 20958060 41916120 92838131 185676262 278514393 371352524 464190655 557028786 742705048 928381310 1114057572 1392571965 1856762620 2135277013 2228115144 2785143930 3713525240 4270554026 5570287860 6405831039 8541108052 10676385065 11140575720 12811662078 17082216104 21352770130 25623324156 32029155195 42705540260 51246648312 64058310390 85411080520 128116620780 256233241560