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22115568672 = 25342321272
BaseRepresentation
bin10100100110001100…
…001100110000100000
32010002021100021220000
4110212030030300200
5330243041144142
614054301220000
71412021142411
oct244614146040
963067307800
1022115568672
11941973108a
124352561600
132115a86c12
1410db265808
1589685b14c
hex52630cc20

22115568672 has 270 divisors, whose sum is σ = 68531692383. Its totient is φ = 6995818368.

The previous prime is 22115568659. The next prime is 22115568707. The reversal of 22115568672 is 27686551122.

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.

22115568672 is a `hidden beast` number, since 2 + 2 + 1 + 15 + 568 + 6 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11057784336 + 11057784336 = 105156^2 + 105156^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105156.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 174138273 + ... + 174138399.

Almost surely, 222115568672 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 22115568672

22115568672 is an abundant number, since it is smaller than the sum of its proper divisors (46416123711).

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

22115568672 is an equidigital number, since it uses as much as digits as its factorization.

22115568672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 155 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 22115568672 in words is "twenty-two billion, one hundred fifteen million, five hundred sixty-eight thousand, six hundred seventy-two".