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22563876132 = 22347219231127
BaseRepresentation
bin10101000000111010…
…010110110100100100
32011020111220200010000
4111000322112310210
5332202323014012
614210554101300
71426103532300
oct250072266444
964214820100
1022563876132
1196297a1116
12445871a830
1321879103c5
141140a02d00
158c0db2ddc
hex540e96d24

22563876132 has 540 divisors, whose sum is σ = 75343048704. Its totient is φ = 5863959360.

The previous prime is 22563876121. The next prime is 22563876173. The reversal of 22563876132 is 23167836522.

22563876132 is a `hidden beast` number, since 2 + 2 + 5 + 638 + 7 + 6 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×225638761322 (a number of 22 digits) contains 22 as substring.

Its product of digits (725760) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 177668253 + ... + 177668379.

Almost surely, 222563876132 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 22563876132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37671524352).

22563876132 is an abundant number, since it is smaller than the sum of its proper divisors (52779172572).

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

22563876132 is a wasteful number, since it uses less digits than its factorization.

22563876132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 189 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 22563876132 in words is "twenty-two billion, five hundred sixty-three million, eight hundred seventy-six thousand, one hundred thirty-two".