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22163266327664 = 24711198861106853
BaseRepresentation
bin1010000101000010010011…
…00111011101010001110000
32220110210021010201010211102
411002201021213131101300
510401110332134441124
6115045355231103532
74445146254303230
oct502411147352160
986423233633742
1022163266327664
117075430057330
12259b481071ba8
13c49caa707687
145689ca353cc0
152867b6451aae
hex1428499dd470

22163266327664 has 160 divisors (see below), whose sum is σ = 56361877608960. Its totient is φ = 8179563340800.

The previous prime is 22163266327651. The next prime is 22163266327681. The reversal of 22163266327664 is 46672366236122.

It is a happy number.

It is a super-2 number, since 2×221632663276642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 31 ways as a sum of consecutive naturals, for example, 207364862 + ... + 207471714.

It is an arithmetic number, because the mean of its divisors is an integer number (352261735056).

Almost surely, 222163266327664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22163266327664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28180938804480).

22163266327664 is an abundant number, since it is smaller than the sum of its proper divisors (34198611281296).

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

22163266327664 is a wasteful number, since it uses less digits than its factorization.

22163266327664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115759 (or 115753 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 56.

The spelling of 22163266327664 in words is "twenty-two trillion, one hundred sixty-three billion, two hundred sixty-six million, three hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 8861 11704 17722 23408 35444 62027 70888 97471 106853 124054 141776 168359 194942 213706 248108 336718 389884 427412 496216 673436 682297 747971 779768 854824 992432 1175383 1178513 1346872 1364594 1495942 1559536 1709648 1851949 2030207 2350766 2357026 2693744 2729188 2991884 3703898 4060414 4701532 4714052 5458376 5983768 7407796 8120828 8227681 9403064 9428104 10916752 11967536 12963643 14211449 14815592 16241656 16455362 18806128 18856208 22332277 25927286 28422898 29631184 32483312 32910724 44664554 51854572 56845796 65821448 89329108 103709144 113691592 131642896 156325939 178658216 207418288 227383184 312651878 357316432 625303756 946824433 1250607512 1893648866 2501215024 3787297732 6627771031 7574595464 10415068763 13255542062 15149190928 17989664227 20830137526 26511084124 35979328454 41660275052 53022168248 71958656908 72905481341 83320550104 106044336496 125927649589 143917313816 145810962682 166641100208 197886306497 251855299178 287834627632 291621925364 395772612994 503710598356 583243850728 791545225988 1007421196712 1166487701456 1385204145479 1583090451976 2014842393424 2770408290958 3166180903952 5540816581916 11081633163832 22163266327664