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22040911872 = 21332726101
BaseRepresentation
bin10100100001101111…
…011010000000000000
32002220001212100000100
4110201233122000000
5330114433134442
614043033122400
71410123442200
oct244157320000
962801770010
1022040911872
11939057a351
124331559400
1321034778b5
1410d1390400
1589001084c
hex521bda000

22040911872 has 252 divisors, whose sum is σ = 74077077906. Its totient is φ = 6296371200.

The previous prime is 22040911831. The next prime is 22040911873. The reversal of 22040911872 is 27811904022.

It can be written as a sum of positive squares in only one way, i.e., 17703899136 + 4337012736 = 133056^2 + 65856^2 .

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

It is a super-2 number, since 2×220409118722 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22040911873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3609622 + ... + 3615722.

Almost surely, 222040911872 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 22040911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37038538953).

22040911872 is an abundant number, since it is smaller than the sum of its proper divisors (52036166034).

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

22040911872 is an equidigital number, since it uses as much as digits as its factorization.

22040911872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 22040911872 in words is "twenty-two billion, forty million, nine hundred eleven thousand, eight hundred seventy-two".