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221650516336116 = 2237100791444918119
BaseRepresentation
bin110010011001011100001000…
…010010100101110111110100
31002001210120201120202210211010
4302121130020102211313310
5213023010224140223431
62103224501432512220
764454502264612360
oct6231341022456764
91061716646683733
10221650516336116
116469650206688a
1220a3943154b670
13968a7281c029a
143ca3d296a82a0
151a9598a392846
hexc997084a5df4

221650516336116 has 96 divisors (see below), whose sum is σ = 591200225280000. Its totient is φ = 63314558673408.

The previous prime is 221650516336091. The next prime is 221650516336141. The reversal of 221650516336116 is 611633615056122.

It is an interprime number because it is at equal distance from previous prime (221650516336091) and next prime (221650516336141).

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 31 ways as a sum of consecutive naturals, for example, 12233034505 + ... + 12233052623.

It is an arithmetic number, because the mean of its divisors is an integer number (6158335680000).

Almost surely, 2221650516336116 is an apocalyptic number.

It is an amenable number.

221650516336116 is an abundant number, since it is smaller than the sum of its proper divisors (369549708943884).

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

221650516336116 is a wasteful number, since it uses less digits than its factorization.

221650516336116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42661 (or 42659 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 221650516336116 in words is "two hundred twenty-one trillion, six hundred fifty billion, five hundred sixteen million, three hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 10079 14449 18119 20158 28898 30237 36238 40316 43347 54357 57796 60474 70553 72476 86694 101143 108714 120948 126833 141106 173388 202286 211659 217428 253666 282212 303429 380499 404572 423318 507332 606858 760998 846636 1213716 1521996 145631471 182621401 261801431 291262942 365242802 436894413 523602862 547864203 582525884 730485604 785404293 873788826 1019420297 1047205724 1095728406 1278349807 1570808586 1747577652 1832610017 2038840594 2191456812 2556699614 3058260891 3141617172 3665220034 3835049421 4077681188 5113399228 5497830051 6116521782 7330440068 7670098842 10995660102 12233043564 15340197684 21991320204 2638696623049 5277393246098 7916089869147 10554786492196 15832179738294 18470876361343 31664359476588 36941752722686 55412629084029 73883505445372 110825258168058 221650516336116