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22344400133420 = 22547912011942049
BaseRepresentation
bin1010001010010011101100…
…00010000101110100101100
32221010002210122220212011212
411011021312002011310230
510412042312413232140
6115304513053133552
74464221031245411
oct505116602056454
987102718825155
1022344400133420
1171352303a3562
12260a5b248a2b8
13c610b6207bb1
1457369096c108
1528b36846c765
hex145276085d2c

22344400133420 has 48 divisors (see below), whose sum is σ = 47060377056000. Its totient is φ = 8911669862400.

The previous prime is 22344400133399. The next prime is 22344400133467. The reversal of 22344400133420 is 2433100444322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10534556 + ... + 12476604.

It is an arithmetic number, because the mean of its divisors is an integer number (980424522000).

Almost surely, 222344400133420 is an apocalyptic number.

22344400133420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22344400133420 is an abundant number, since it is smaller than the sum of its proper divisors (24715976922580).

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

22344400133420 is a wasteful number, since it uses less digits than its factorization.

22344400133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943738 (or 1943736 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22344400133420 its reverse (2433100444322), we get a palindrome (24777500577742).

The spelling of 22344400133420 in words is "twenty-two trillion, three hundred forty-four billion, four hundred million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 479 958 1201 1916 2395 2402 4790 4804 6005 9580 12010 24020 575279 1150558 1942049 2301116 2876395 3884098 5752790 7768196 9710245 11505580 19420490 38840980 930241471 1860482942 2332400849 3720965884 4651207355 4664801698 9302414710 9329603396 11662004245 18604829420 23324008490 46648016980 1117220006671 2234440013342 4468880026684 5586100033355 11172200066710 22344400133420