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22372113104 = 24112910134327
BaseRepresentation
bin10100110101011110…
…110101101011010000
32010202011002002200122
4110311132311223100
5331304230104404
614135544005412
71421254552355
oct246536655320
963664062618
1022372113104
119540524780
124404460868
132156c7b363
14112336662c
158ae1343be
hex5357b5ad0

22372113104 has 80 divisors (see below), whose sum is σ = 48976686720. Its totient is φ = 9806522880.

The previous prime is 22372113097. The next prime is 22372113107. The reversal of 22372113104 is 40131127322.

It is a super-2 number, since 2×223721131042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22372113107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5168189 + ... + 5172515.

It is an arithmetic number, because the mean of its divisors is an integer number (612208584).

Almost surely, 222372113104 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 22372113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24488343360).

22372113104 is an abundant number, since it is smaller than the sum of its proper divisors (26604573616).

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

22372113104 is a wasteful number, since it uses less digits than its factorization.

22372113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 22372113104 in words is "twenty-two billion, three hundred seventy-two million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1013 1276 2026 2552 4052 4327 5104 8104 8654 11143 16208 17308 22286 29377 34616 44572 47597 58754 69232 89144 95194 117508 125483 178288 190388 235016 250966 323147 380776 470032 501932 646294 761552 1003864 1292588 1380313 2007728 2585176 2760626 4383251 5170352 5521252 8766502 11042504 17533004 22085008 35066008 48215761 70132016 96431522 127114279 192863044 254228558 385726088 508457116 771452176 1016914232 1398257069 2033828464 2796514138 5593028276 11186056552 22372113104