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232221013141152 = 2537353978943297
BaseRepresentation
bin110100110011010000101010…
…111111110110011010100000
31010110020010000200101112011010
4310303100222333312122200
5220414202113331004102
62141520505524220520
766625262121145230
oct6463205277663240
91113203020345133
10232221013141152
1167aa1418a24342
1222065ba353a740
139c76469817999
14414b7b25d5cc0
151bca904e60d6c
hexd3342aff66a0

232221013141152 has 96 divisors (see below), whose sum is σ = 698636589823872. Its totient is φ = 66160903716864.

The previous prime is 232221013141109. The next prime is 232221013141157. The reversal of 232221013141152 is 251141310122232.

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

It is not an unprimeable number, because it can be changed into a prime (232221013141157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489234433 + ... + 489708864.

It is an arithmetic number, because the mean of its divisors is an integer number (7277464477332).

Almost surely, 2232221013141152 is an apocalyptic number.

It is an amenable number.

232221013141152 is an abundant number, since it is smaller than the sum of its proper divisors (466415576682720).

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

232221013141152 is a wasteful number, since it uses less digits than its factorization.

232221013141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978943670 (or 978943662 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 232221013141152 its reverse (251141310122232), we get a palindrome (483362323263384).

The spelling of 232221013141152 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, thirteen million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 353 672 706 1059 1412 2118 2471 2824 4236 4942 5648 7413 8472 9884 11296 14826 16944 19768 29652 33888 39536 59304 79072 118608 237216 978943297 1957886594 2936829891 3915773188 5873659782 6852603079 7831546376 11747319564 13705206158 15663092752 20557809237 23494639128 27410412316 31326185504 41115618474 46989278256 54820824632 82231236948 93978556512 109641649264 164462473896 219283298528 328924947792 345566983841 657849895584 691133967682 1036700951523 1382267935364 2073401903046 2418968886887 2764535870728 4146803806092 4837937773774 5529071741456 7256906660661 8293607612184 9675875547548 11058143482912 14513813321322 16587215224368 19351751095096 29027626642644 33174430448736 38703502190192 58055253285288 77407004380384 116110506570576 232221013141152