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22750255656 = 233271101139317
BaseRepresentation
bin10101001100000001…
…010101101000101000
32011201111121201202100
4111030001111220220
5333043031140111
614241252533400
71433525660652
oct251401255050
964644551670
1022750255656
119714a20887
1244ab021260
1321b7408c4b
14115b67b6d2
158d242b756
hex54c055a28

22750255656 has 192 divisors, whose sum is σ = 63756201600. Its totient is φ = 7326144000.

The previous prime is 22750255651. The next prime is 22750255657. The reversal of 22750255656 is 65655205722.

22750255656 is a `hidden beast` number, since 22 + 75 + 0 + 2 + 556 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (22750255651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71767210 + ... + 71767526.

It is an arithmetic number, because the mean of its divisors is an integer number (332063550).

Almost surely, 222750255656 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 22750255656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31878100800).

22750255656 is an abundant number, since it is smaller than the sum of its proper divisors (41005945944).

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

22750255656 is a wasteful number, since it uses less digits than its factorization.

22750255656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 22750255656 in words is "twenty-two billion, seven hundred fifty million, two hundred fifty-five thousand, six hundred fifty-six".