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22564527048 = 2336722812
BaseRepresentation
bin10101000000111100…
…110101101111001000
32011020120010202000000
4111000330311233020
5332203004331143
614211020043000
71426112213100
oct250074655710
964216122000
1022564527048
11962a0a6168
124458993460
132187aaa76b
141140b32200
158c0e90bd3
hex540f35bc8

22564527048 has 252 divisors, whose sum is σ = 74053772145. Its totient is φ = 6424064640.

The previous prime is 22564527001. The next prime is 22564527067. The reversal of 22564527048 is 84072546522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22564527048 is a `hidden beast` number, since 2 + 25 + 64 + 527 + 0 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21844248804 + 720278244 = 147798^2 + 26838^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106218.

It is a junction number, because it is equal to n+sod(n) for n = 22564526994 and 22564527012.

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 62 ways as a sum of consecutive naturals, for example, 80300668 + ... + 80300948.

Almost surely, 222564527048 is an apocalyptic number.

22564527048 is a gapful number since it is divisible by the number (28) 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 22564527048

22564527048 is an abundant number, since it is smaller than the sum of its proper divisors (51489245097).

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

22564527048 is an frugal number, since it uses more digits than its factorization.

22564527048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 22564527048 in words is "twenty-two billion, five hundred sixty-four million, five hundred twenty-seven thousand, forty-eight".