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22054302996168 = 23319531999456499
BaseRepresentation
bin1010000001110111010101…
…11001010101011011001000
32220002101000021222101022010
411000323222321111123020
510342314203031334133
6114523335032455520
74434241121255022
oct500735271253310
986071007871263
1022054302996168
1170331a50a5653
12258233154a5a0
13c3c933c15cb1
14563610b05012
15283a3a380263
hex140eeae556c8

22054302996168 has 128 divisors (see below), whose sum is σ = 59162400000000. Its totient is φ = 6829677533952.

The previous prime is 22054302996139. The next prime is 22054302996169. The reversal of 22054302996168 is 86169920345022.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (22054302996169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48083583 + ... + 48540081.

It is an arithmetic number, because the mean of its divisors is an integer number (462206250000).

Almost surely, 222054302996168 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 22054302996168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581200000000).

22054302996168 is an abundant number, since it is smaller than the sum of its proper divisors (37108097003832).

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

22054302996168 is a wasteful number, since it uses less digits than its factorization.

22054302996168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458579 (or 458575 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 22054302996168 in words is "twenty-two trillion, fifty-four billion, three hundred two million, nine hundred ninety-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 318 424 456 636 1007 1272 1999 2014 3021 3998 4028 5997 6042 7996 8056 11994 12084 15992 23988 24168 37981 47976 75962 105947 113943 151924 211894 227886 303848 317841 423788 455772 456499 635682 847576 911544 912998 1271364 1369497 1825996 2012993 2542728 2738994 3651992 4025986 5477988 6038979 8051972 8673481 10955976 12077958 16103944 17346962 24155916 24194447 26020443 34693924 48311832 48388894 52040886 69387848 72583341 96777788 104081772 145166682 193555576 208163544 290333364 459694493 580666728 912541501 919388986 1379083479 1825083002 1838777972 2737624503 2758166958 3650166004 3677555944 5475249006 5516333916 7300332008 10950498012 11032667832 17338288519 21900996024 34676577038 48364699553 52014865557 69353154076 96729399106 104029731114 138706308152 145094098659 193458798212 208059462228 290188197318 386917596424 416118924456 580376394636 918929291507 1160752789272 1837858583014 2756787874521 3675717166028 5513575749042 7351434332056 11027151498084 22054302996168