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22082535904 = 25111334713907
BaseRepresentation
bin10100100100001110…
…001100000111100000
32002222222012001110011
4110210032030013200
5330211112122104
614051121214304
71411140313102
oct244416140740
962888161404
1022082535904
11940201a080
124343491394
13210bc8c6c0
1410d6b07572
158939d3904
hex52438c1e0

22082535904 has 96 divisors (see below), whose sum is σ = 51226390656. Its totient is φ = 9238033920.

The previous prime is 22082535901. The next prime is 22082535931. The reversal of 22082535904 is 40953528022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22082535901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1580919 + ... + 1594825.

It is an arithmetic number, because the mean of its divisors is an integer number (533608236).

Almost surely, 222082535904 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 22082535904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613195328).

22082535904 is an abundant number, since it is smaller than the sum of its proper divisors (29143854752).

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

22082535904 is a wasteful number, since it uses less digits than its factorization.

22082535904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288 (or 14280 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 22082535904 in words is "twenty-two billion, eighty-two million, five hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 347 352 416 572 694 1144 1388 2288 2776 3817 4511 4576 5552 7634 9022 11104 13907 15268 18044 27814 30536 36088 49621 55628 61072 72176 99242 111256 122144 144352 152977 180791 198484 222512 305954 361582 396968 445024 611908 723164 793936 1223816 1446328 1587872 1988701 2447632 2892656 3977402 4825729 4895264 5785312 7954804 9651458 15909608 19302916 31819216 38605832 53083019 62734477 63638432 77211664 106166038 125468954 154423328 212332076 250937908 424664152 501875816 690079247 849328304 1003751632 1380158494 1698656608 2007503264 2760316988 5520633976 11041267952 22082535904