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22082842400 = 255227603553
BaseRepresentation
bin10100100100001111…
…010110111100100000
32002222222202121212212
4110210033112330200
5330211201424100
614051131541252
71411143030503
oct244417267440
962888677785
1022082842400
119402209383
1243435ba828
13210c069068
1410d6b8713a
15893a44635
hex5243d6f20

22082842400 has 36 divisors (see below), whose sum is σ = 53909740962. Its totient is φ = 8833136640.

The previous prime is 22082842399. The next prime is 22082842403. The reversal of 22082842400 is 424828022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14312772496 + 7770069904 = 119636^2 + 88148^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (22082842403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13800977 + ... + 13802576.

Almost surely, 222082842400 is an apocalyptic number.

22082842400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22082842400 is an abundant number, since it is smaller than the sum of its proper divisors (31826898562).

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

22082842400 is a wasteful number, since it uses less digits than its factorization.

22082842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27603573 (or 27603560 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 22082842400 in words is "twenty-two billion, eighty-two million, eight hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 27603553 55207106 110414212 138017765 220828424 276035530 441656848 552071060 690088825 883313696 1104142120 1380177650 2208284240 2760355300 4416568480 5520710600 11041421200 22082842400