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22434120400 = 245256085301
BaseRepresentation
bin10100111001001011…
…011000001011010000
32010220110202101201011
4110321023120023100
5331421113323100
614150041020304
71422636606556
oct247113301320
963813671634
1022434120400
11957252677a
124421184694
132166a7bb73
14112b6a7bd6
158b47d1bba
hex5392d82d0

22434120400 has 30 divisors (see below), whose sum is σ = 53897975222. Its totient is φ = 8973648000.

The previous prime is 22434120389. The next prime is 22434120413. The reversal of 22434120400 is 402143422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 333135504 + 22100984896 = 18252^2 + 148664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28042251 + ... + 28043050.

Almost surely, 222434120400 is an apocalyptic number.

22434120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434120400 is an abundant number, since it is smaller than the sum of its proper divisors (31463854822).

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

22434120400 is a wasteful number, since it uses less digits than its factorization.

22434120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56085319 (or 56085308 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22434120400 its reverse (402143422), we get a palindrome (22836263822).

The spelling of 22434120400 in words is "twenty-two billion, four hundred thirty-four million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 56085301 112170602 224341204 280426505 448682408 560853010 897364816 1121706020 1402132525 2243412040 2804265050 4486824080 5608530100 11217060200 22434120400