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422222521803264 = 293271323397110273
BaseRepresentation
bin110000000000000100101011…
…1011011011010001000000000
32001100222002010111121022020200
41200000021113123122020000
5420320143211040201024
64053554203200405200
7154635366460411320
oct14000112733321000
92040862114538220
10422222521803264
1111259562526a866
123b431678316800
131517954a384210
147639971607280
1533c2e9b7682c9
hex18002576da200

422222521803264 has 960 divisors, whose sum is σ = 1568933190849024. Its totient is φ = 106244591321088.

The previous prime is 422222521803263. The next prime is 422222521803301. The reversal of 422222521803264 is 462308125222224.

422222521803264 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 22 + 521 + 80 + 3 + 26 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (422222521803263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3828828832 + ... + 3828939104.

Almost surely, 2422222521803264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422222521803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784466595424512).

422222521803264 is an abundant number, since it is smaller than the sum of its proper divisors (1146710669045760).

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

422222521803264 is a wasteful number, since it uses less digits than its factorization.

422222521803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110737 (or 110718 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 422222521803264 in words is "four hundred twenty-two trillion, two hundred twenty-two billion, five hundred twenty-one million, eight hundred three thousand, two hundred sixty-four".