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22522828896 = 2534172107281
BaseRepresentation
bin10100111110011101…
…110001100001100000
32011010122200020220000
4110332131301201200
5332111321011041
614202530220000
71425064613121
oct247635614140
964118606800
1022522828896
119608605787
124446a24600
13217c26acb9
14113939a048
158bc4a5bb6
hex53e771860

22522828896 has 360 divisors, whose sum is σ = 71274989016. Its totient is φ = 6975037440.

The previous prime is 22522828871. The next prime is 22522828897. The reversal of 22522828896 is 69882822522.

22522828896 is a `hidden beast` number, since 2 + 2 + 522 + 8 + 28 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22522828897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80152276 + ... + 80152556.

Almost surely, 222522828896 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 22522828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35637494508).

22522828896 is an abundant number, since it is smaller than the sum of its proper divisors (48752160120).

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

22522828896 is a wasteful number, since it uses less digits than its factorization.

22522828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 410 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 22522828896 in words is "twenty-two billion, five hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred ninety-six".