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22131333200 = 245255328333
BaseRepresentation
bin10100100111001000…
…010101100001010000
32010010101000012202102
4110213020111201100
5330311110130300
614100023135532
71412302141214
oct244710254120
963111005672
1022131333200
119427619219
1243578a45a8
132119116542
1410dd3aa944
15897e220d5
hex527215850

22131333200 has 30 divisors (see below), whose sum is σ = 53170528974. Its totient is φ = 8852533120.

The previous prime is 22131333199. The next prime is 22131333229. The reversal of 22131333200 is 233313122.

It can be written as a sum of positive squares in 3 ways, for example, as 7776417856 + 14354915344 = 88184^2 + 119812^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27663767 + ... + 27664566.

Almost surely, 222131333200 is an apocalyptic number.

22131333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131333200 is an abundant number, since it is smaller than the sum of its proper divisors (31039195774).

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

22131333200 is a wasteful number, since it uses less digits than its factorization.

22131333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55328351 (or 55328340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 22131333200 its reverse (233313122), we get a palindrome (22364646322).

The spelling of 22131333200 in words is "twenty-two billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 55328333 110656666 221313332 276641665 442626664 553283330 885253328 1106566660 1383208325 2213133320 2766416650 4426266640 5532833300 11065666600 22131333200