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22640552532 = 223213192294621
BaseRepresentation
bin10101000101011110…
…110110101001010100
32011102212012020100200
4111011132312221110
5332331440140112
614222333340500
71431024343533
oct250536665124
964385166320
1022640552532
119669002244
12447a337730
13219a778a60
14114ac8231a
158c79abcdc
hex5457b6a54

22640552532 has 216 divisors, whose sum is σ = 67304732040. Its totient is φ = 6370721280.

The previous prime is 22640552521. The next prime is 22640552549. The reversal of 22640552532 is 23525504622.

22640552532 is a `hidden beast` number, since 2 + 2 + 640 + 5 + 5 + 2 + 5 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 474107076 + 22166445456 = 21774^2 + 148884^2 .

It is a super-2 number, since 2×226405525322 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4897182 + ... + 4901802.

Almost surely, 222640552532 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 22640552532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33652366020).

22640552532 is an abundant number, since it is smaller than the sum of its proper divisors (44664179508).

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

22640552532 is a wasteful number, since it uses less digits than its factorization.

22640552532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 22640552532 in words is "twenty-two billion, six hundred forty million, five hundred fifty-two thousand, five hundred thirty-two".