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22137254880 = 25351316572141
BaseRepresentation
bin10100100111011110…
…111011001111100000
32010010210011001202220
4110213132323033200
5330314114124010
614100354111040
71412403363456
oct244736731740
963123131686
1022137254880
11942a9a3274
12435987b480
13211a40a9b0
1411000ac9d6
158986e1970
hex5277bb3e0

22137254880 has 192 divisors, whose sum is σ = 75176797248. Its totient is φ = 5443338240.

The previous prime is 22137254879. The next prime is 22137254897. The reversal of 22137254880 is 8845273122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10338610 + ... + 10340750.

It is an arithmetic number, because the mean of its divisors is an integer number (391545819).

Almost surely, 222137254880 is an apocalyptic number.

22137254880 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 22137254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37588398624).

22137254880 is an abundant number, since it is smaller than the sum of its proper divisors (53039542368).

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

22137254880 is a wasteful number, since it uses less digits than its factorization.

22137254880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 22137254880 in words is "twenty-two billion, one hundred thirty-seven million, two hundred fifty-four thousand, eight hundred eighty".