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22122805536 = 25361372949
BaseRepresentation
bin10100100110100111…
…110011100100100000
32010002202221222000000
4110212213303210200
5330301414234121
614055120300000
71412136513216
oct244647634440
963082858000
1022122805536
119422824267
124354a71600
13211741bba0
1410dc1cacb6
158972da526
hex5269f3920

22122805536 has 168 divisors, whose sum is σ = 70325696700. Its totient is φ = 6806923776.

The previous prime is 22122805499. The next prime is 22122805541. The reversal of 22122805536 is 63550822122.

It is a happy number.

22122805536 is a `hidden beast` number, since 2 + 2 + 1 + 22 + 80 + 553 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21478661136 + 644144400 = 146556^2 + 25380^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 22122805536.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 266790 + ... + 339738.

Almost surely, 222122805536 is an apocalyptic number.

22122805536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122805536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35162848350).

22122805536 is an abundant number, since it is smaller than the sum of its proper divisors (48202891164).

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

22122805536 is an equidigital number, since it uses as much as digits as its factorization.

22122805536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72990 (or 72967 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22122805536 in words is "twenty-two billion, one hundred twenty-two million, eight hundred five thousand, five hundred thirty-six".