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22090373136 = 2434135971313
BaseRepresentation
bin10100100100101100…
…000101100000010000
32010000111221020010000
4110210230011200100
5330220113420021
614052001210000
71411264034136
oct244454054020
963014836100
1022090373136
119406492327
124346030900
1321107a4a10
1410d7b87756
15894530b26
hex524b05810

22090373136 has 400 divisors, whose sum is σ = 71234190720. Its totient is φ = 6566676480.

The previous prime is 22090373131. The next prime is 22090373141. The reversal of 22090373136 is 63137309022.

22090373136 is a `hidden beast` number, since 220 + 90 + 37 + 313 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (22090373131) and next prime (22090373141).

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 22090373136.

It is not an unprimeable number, because it can be changed into a prime (22090373131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70576116 + ... + 70576428.

Almost surely, 222090373136 is an apocalyptic number.

22090373136 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 22090373136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35617095360).

22090373136 is an abundant number, since it is smaller than the sum of its proper divisors (49143817584).

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

22090373136 is a wasteful number, since it uses less digits than its factorization.

22090373136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 22090373136 in words is "twenty-two billion, ninety million, three hundred seventy-three thousand, one hundred thirty-six".