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22656145320 = 23325531187429
BaseRepresentation
bin10101000110011010…
…010101011110101000
32011110221112102122100
4111012122111132220
5332344433122240
614224051453400
71431304025544
oct250632253650
964427472570
1022656145320
119676892346
1244835b7260
1321a0a78163
14114cd80a24
158c903be30
hex5466957a8

22656145320 has 96 divisors (see below), whose sum is σ = 75021827400. Its totient is φ = 5927640576.

The previous prime is 22656145313. The next prime is 22656145349. The reversal of 22656145320 is 2354165622.

22656145320 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 614 + 5 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22264817796 + 391327524 = 149214^2 + 19782^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 574635 + ... + 612794.

Almost surely, 222656145320 is an apocalyptic number.

22656145320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22656145320 is an abundant number, since it is smaller than the sum of its proper divisors (52365682080).

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

22656145320 is a wasteful number, since it uses less digits than its factorization.

22656145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187499 (or 1187492 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 22656145320 in words is "twenty-two billion, six hundred fifty-six million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 1187429 2374858 3562287 4749716 5937145 7124574 9499432 10686861 11874290 14249148 17811435 21373722 23748580 28498296 35622870 42747444 47497160 53434305 62933737 71245740 85494888 106868610 125867474 142491480 188801211 213737220 251734948 314668685 377602422 427474440 503469896 566403633 629337370 755204844 944006055 1132807266 1258674740 1510409688 1888012110 2265614532 2517349480 2832018165 3776024220 4531229064 5664036330 7552048440 11328072660 22656145320