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22387140544 = 2631611131637
BaseRepresentation
bin10100110110011000…
…001010011111000000
32010210012100120110111
4110312120022133000
5331322101444134
614141242041104
71421526361216
oct246630123700
963705316414
1022387140544
119548a5904a
1244094a9194
13215a110332
141125358cb6
158b0601c64
hex53660a7c0

22387140544 has 112 divisors (see below), whose sum is σ = 47050488576. Its totient is φ = 10554163200.

The previous prime is 22387140541. The next prime is 22387140553. The reversal of 22387140544 is 44504178322.

It is a junction number, because it is equal to n+sod(n) for n = 22387140497 and 22387140506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22387140541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13674894 + ... + 13676530.

It is an arithmetic number, because the mean of its divisors is an integer number (420093648).

Almost surely, 222387140544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22387140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525244288).

22387140544 is an abundant number, since it is smaller than the sum of its proper divisors (24663348032).

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

22387140544 is a wasteful number, since it uses less digits than its factorization.

22387140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 22387140544 in words is "twenty-two billion, three hundred eighty-seven million, one hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 61 62 64 113 122 124 226 244 248 452 488 496 904 976 992 1637 1808 1891 1952 1984 3274 3503 3616 3782 3904 6548 6893 7006 7232 7564 13096 13786 14012 15128 26192 27572 28024 30256 50747 52384 55144 56048 60512 99857 101494 104768 110288 112096 121024 184981 199714 202988 213683 220576 224192 369962 399428 405976 427366 441152 739924 798856 811952 854732 1479848 1597712 1623904 1709464 2959696 3095567 3195424 3247808 3418928 5734411 5919392 6191134 6390848 6837856 11283841 11468822 11838784 12382268 13675712 22567682 22937644 24764536 45135364 45875288 49529072 90270728 91750576 99058144 180541456 183501152 198116288 349799071 361082912 367002304 699598142 722165824 1399196284 2798392568 5596785136 11193570272 22387140544