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22564531000 = 2353112051321
BaseRepresentation
bin10101000000111100…
…110110101100111000
32011020120010221102101
4111000330312230320
5332203004443000
614211020113144
71426112230444
oct250074665470
964216127371
1022564531000
11962a0a9130
1244589957b4
132187aac4bb
141140b33824
158c0e91e6a
hex540f36b38

22564531000 has 64 divisors (see below), whose sum is σ = 57601121760. Its totient is φ = 8205280000.

The previous prime is 22564530983. The next prime is 22564531009. The reversal of 22564531000 is 13546522.

It is a super-2 number, since 2×225645310002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22564531000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22564531009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1014661 + ... + 1036660.

Almost surely, 222564531000 is an apocalyptic number.

22564531000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22564531000 is an abundant number, since it is smaller than the sum of its proper divisors (35036590760).

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

22564531000 is a wasteful number, since it uses less digits than its factorization.

22564531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051353 (or 2051339 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 22564531000 in words is "twenty-two billion, five hundred sixty-four million, five hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 2051321 4102642 8205284 10256605 16410568 20513210 22564531 41026420 45129062 51283025 82052840 90258124 102566050 112822655 180516248 205132100 225645310 256415125 410264200 451290620 512830250 564113275 902581240 1025660500 1128226550 2051321000 2256453100 2820566375 4512906200 5641132750 11282265500 22564531000