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22921159680 = 2103752389
BaseRepresentation
bin10101010110001101…
…010010010000000000
32012011102012120000000
4111112031102100000
5333420304102210
614310240000000
71441002433266
oct252615222000
965142176000
1022921159680
1197a2440581
124538300000
1322139468a3
141176248436
158e2439ac0
hex556352400

22921159680 has 704 divisors, whose sum is σ = 87015513600. Its totient is φ = 5780865024.

The previous prime is 22921159669. The next prime is 22921159699. The reversal of 22921159680 is 8695112922.

It is a happy number.

It is a super-2 number, since 2×229211596802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257541076 + ... + 257541164.

Almost surely, 222921159680 is an apocalyptic number.

22921159680 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 22921159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43507756800).

22921159680 is an abundant number, since it is smaller than the sum of its proper divisors (64094353920).

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

22921159680 is an frugal number, since it uses more digits than its factorization.

22921159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 22921159680 in words is "twenty-two billion, nine hundred twenty-one million, one hundred fifty-nine thousand, six hundred eighty".