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22431040020 = 2234513846321
BaseRepresentation
bin10100111000111111…
…101000001000010100
32010220020221220020000
4110320333220020110
5331414321240040
614145451011300
71422601460064
oct247077501024
963806856200
1022431040020
119570812404
124420139b30
132166240a5c
14112b1053a4
158b43c4130
hex538fe8214

22431040020 has 60 divisors (see below), whose sum is σ = 70367008404. Its totient is φ = 5981610240.

The previous prime is 22431039977. The next prime is 22431040087. The reversal of 22431040020 is 2004013422.

22431040020 is a `hidden beast` number, since 2 + 243 + 1 + 0 + 400 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17508053124 + 4922986896 = 132318^2 + 70164^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22431039975 and 22431040002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6921541 + ... + 6924780.

Almost surely, 222431040020 is an apocalyptic number.

22431040020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22431040020 is an abundant number, since it is smaller than the sum of its proper divisors (47935968384).

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

22431040020 is a wasteful number, since it uses less digits than its factorization.

22431040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13846342 (or 13846331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22431040020 its reverse (2004013422), we get a palindrome (24435053442).

The spelling of 22431040020 in words is "twenty-two billion, four hundred thirty-one million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 13846321 27692642 41538963 55385284 69231605 83077926 124616889 138463210 166155852 207694815 249233778 276926420 373850667 415389630 498467556 623084445 747701334 830779260 1121552001 1246168890 1495402668 1869253335 2243104002 2492337780 3738506670 4486208004 5607760005 7477013340 11215520010 22431040020