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22182217044 = 223132941119591
BaseRepresentation
bin10100101010001010…
…011100010101010100
32010020220202101021020
4110222022130111110
5330412121421134
614105041521140
71413460506501
oct245212342524
963226671236
1022182217044
119453312a89
1243709431b0
132126821020
1411060544a8
1589c623b49
hex52a29c554

22182217044 has 96 divisors (see below), whose sum is σ = 59068880640. Its totient is φ = 6429158400.

The previous prime is 22182217021. The next prime is 22182217061. The reversal of 22182217044 is 44071228122.

It is a super-3 number, since 3×221822170443 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22182216996 and 22182217014.

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, 125689 + ... + 245279.

It is an arithmetic number, because the mean of its divisors is an integer number (615300840).

Almost surely, 222182217044 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 22182217044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29534440320).

22182217044 is an abundant number, since it is smaller than the sum of its proper divisors (36886663596).

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

22182217044 is a wasteful number, since it uses less digits than its factorization.

22182217044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119681 (or 119679 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 22182217044 in words is "twenty-two billion, one hundred eighty-two million, two hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 41 52 58 78 82 87 116 123 156 164 174 246 348 377 492 533 754 1066 1131 1189 1508 1599 2132 2262 2378 3198 3567 4524 4756 6396 7134 14268 15457 30914 46371 61828 92742 119591 185484 239182 358773 478364 717546 1435092 1554683 3109366 3468139 4664049 4903231 6218732 6936278 9328098 9806462 10404417 13872556 14709693 18656196 19612924 20808834 29419386 41617668 45085807 58838772 63742003 90171614 127484006 135257421 142193699 180343228 191226009 254968012 270514842 284387398 382452018 426581097 541029684 568774796 764904036 853162194 1706324388 1848518087 3697036174 5545554261 7394072348 11091108522 22182217044