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22421514320 = 245537736841
BaseRepresentation
bin10100111000011011…
…010010100001010000
32010212121000221102022
4110320123102201100
5331404401424240
614144510511012
71422424504262
oct247033224120
963777027368
1022421514320
1195663a6627
124418b05468
13216428704a
141129b45b32
158b36419b5
hex5386d2850

22421514320 has 80 divisors (see below), whose sum is σ = 53190091152. Its totient is φ = 8786718720.

The previous prime is 22421514307. The next prime is 22421514331. The reversal of 22421514320 is 2341512422.

It can be written as a sum of positive squares in 8 ways, for example, as 164454976 + 22257059344 = 12824^2 + 149188^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22421514320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3274100 + ... + 3280940.

Almost surely, 222421514320 is an apocalyptic number.

22421514320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22421514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26595045576).

22421514320 is an abundant number, since it is smaller than the sum of its proper divisors (30768576832).

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

22421514320 is a wasteful number, since it uses less digits than its factorization.

22421514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 22421514320 in words is "twenty-two billion, four hundred twenty-one million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 773 848 1060 1546 2120 3092 3865 4240 6184 6841 7730 12368 13682 15460 27364 30920 34205 40969 54728 61840 68410 81938 109456 136820 163876 204845 273640 327752 362573 409690 547280 655504 725146 819380 1450292 1638760 1812865 2900584 3277520 3625730 5288093 5801168 7251460 10576186 14502920 21152372 26440465 29005840 42304744 52880930 84609488 105761860 211523720 280268929 423047440 560537858 1121075716 1401344645 2242151432 2802689290 4484302864 5605378580 11210757160 22421514320