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22057920 = 263452337
BaseRepresentation
bin101010000100…
…1001111000000
31112111122210000
41110021033000
521121323140
62104440000
7355326543
oct124111700
945448700
1022057920
11114a6495
127479000
134754031
142d0285a
151e0aa30
hex15093c0

22057920 has 280 divisors, whose sum is σ = 84088224. Its totient is φ = 5474304.

The previous prime is 22057913. The next prime is 22057921. The reversal of 22057920 is 2975022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22057921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596142 + ... + 596178.

Almost surely, 222057920 is an apocalyptic number.

22057920 is a gapful number since it is divisible by the number (20) 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 22057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42044112).

22057920 is an abundant number, since it is smaller than the sum of its proper divisors (62030304).

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

22057920 is a wasteful number, since it uses less digits than its factorization.

22057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 22057920 is about 4696.5859941025. The cubic root of 22057920 is about 280.4496177634.

The spelling of 22057920 in words is "twenty-two million, fifty-seven thousand, nine hundred twenty".