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22008419328 = 2103737139199
BaseRepresentation
bin10100011111110011…
…011101010000000000
32002210210201112121210
4110133303131100000
5330033123404303
614035512450120
71406250322560
oct243763352000
962723645553
1022008419328
1193741a7205
1243226a9940
1320c980c23c
1410cad32da0
1588c243203
hex51fcdd400

22008419328 has 352 divisors, whose sum is σ = 69696256000. Its totient is φ = 6043631616.

The previous prime is 22008419311. The next prime is 22008419371. The reversal of 22008419328 is 82391480022.

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, 110594973 + ... + 110595171.

Almost surely, 222008419328 is an apocalyptic number.

22008419328 is a gapful number since it is divisible by the number (28) 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 22008419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34848128000).

22008419328 is an abundant number, since it is smaller than the sum of its proper divisors (47687836672).

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

22008419328 is a wasteful number, since it uses less digits than its factorization.

22008419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 22008419328 in words is "twenty-two billion, eight million, four hundred nineteen thousand, three hundred twenty-eight".