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22431303200 = 255228039129
BaseRepresentation
bin10100111001000000…
…101000011000100000
32010220021110021020102
4110321000220120200
5331414403200300
614145500401532
71422603634265
oct247100503040
963807407212
1022431303200
119570982109
1244202462a8
132166303797
14112b17326c
158b44270d5
hex539028620

22431303200 has 36 divisors (see below), whose sum is σ = 54760420890. Its totient is φ = 8972520960.

The previous prime is 22431303199. The next prime is 22431303203. The reversal of 22431303200 is 230313422.

It can be written as a sum of positive squares in 3 ways, for example, as 20838654736 + 1592648464 = 144356^2 + 39908^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22431303203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14018765 + ... + 14020364.

Almost surely, 222431303200 is an apocalyptic number.

22431303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22431303200 is an abundant number, since it is smaller than the sum of its proper divisors (32329117690).

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

22431303200 is a wasteful number, since it uses less digits than its factorization.

22431303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28039149 (or 28039136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22431303200 its reverse (230313422), we get a palindrome (22661616622).

The spelling of 22431303200 in words is "twenty-two billion, four hundred thirty-one million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 28039129 56078258 112156516 140195645 224313032 280391290 448626064 560782580 700978225 897252128 1121565160 1401956450 2243130320 2803912900 4486260640 5607825800 11215651600 22431303200