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22412155443304 = 231110363113272953
BaseRepresentation
bin1010001100010001111001…
…00100000101100001101000
32221100120200122111020002111
411012020330210011201220
510414200043243141204
6115400000240412104
74502140051005124
oct506107444054150
987316618436074
1022412155443304
117160a3a511730
12261b761617034
13c675c35a4633
14576a7b3d2584
1528ced1984d04
hex14623c905868

22412155443304 has 128 divisors (see below), whose sum is σ = 46412128788480. Its totient is φ = 10061450380800.

The previous prime is 22412155443289. The next prime is 22412155443331. The reversal of 22412155443304 is 40334455121422.

It is a super-2 number, since 2×224121554433042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7589621092 + ... + 7589624044.

It is an arithmetic number, because the mean of its divisors is an integer number (362594756160).

Almost surely, 222412155443304 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 22412155443304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206064394240).

22412155443304 is an abundant number, since it is smaller than the sum of its proper divisors (23999973345176).

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

22412155443304 is a wasteful number, since it uses less digits than its factorization.

22412155443304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 22412155443304 in words is "twenty-two trillion, four hundred twelve billion, one hundred fifty-five million, four hundred forty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 631 824 1133 1262 1327 2266 2524 2654 2953 4532 5048 5308 5906 6941 9064 10616 11812 13882 14597 23624 27764 29194 32483 55528 58388 64966 64993 116776 129932 129986 136681 259864 259972 273362 304159 519944 546724 608318 714923 837337 1093448 1216636 1429846 1503491 1674674 1863343 2433272 2859692 3006982 3345749 3349348 3726686 3918631 5719384 6013964 6691498 6698696 7453372 7837262 9210707 12027928 13382996 14906744 15674524 18421414 20496773 26765992 31349048 36842828 40993546 43104941 73685656 81987092 86209882 86245711 163974184 172419764 172491422 191924329 344839528 344982844 383848658 403618993 689965688 767697316 807237986 948702821 1535394632 1614475972 1897405642 2111167619 2472656161 3228951944 3794811284 4222335238 4439808923 4945312322 7589622568 8444670476 8879617846 9890624644 16889340952 17759235692 19781249288 27199217771 35518471384 54398435542 108796871084 217593742168 254683584583 509367169166 1018734338332 2037468676664 2801519430413 5603038860826 11206077721652 22412155443304