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22422583904 = 2577910311229
BaseRepresentation
bin10100111000011111…
…010111101001100000
32010212200001021121112
4110320133113221200
5331410140141104
614144545442452
71422436550510
oct247037275140
963780037545
1022422583904
119566a67186
124419340428
13216456cb36
141129d43840
158b37a386e
hex5387d7a60

22422583904 has 96 divisors (see below), whose sum is σ = 51180595200. Its totient is φ = 9471121920.

The previous prime is 22422583903. The next prime is 22422583949. The reversal of 22422583904 is 40938522422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422583901) 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, 18243962 + ... + 18245190.

It is an arithmetic number, because the mean of its divisors is an integer number (533131200).

Almost surely, 222422583904 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 22422583904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25590297600).

22422583904 is an abundant number, since it is smaller than the sum of its proper divisors (28758011296).

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

22422583904 is a wasteful number, since it uses less digits than its factorization.

22422583904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 22422583904 in words is "twenty-two billion, four hundred twenty-two million, five hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1031 1106 1229 1264 2062 2212 2458 2528 4124 4424 4916 7217 8248 8603 8848 9832 14434 16496 17206 17696 19664 28868 32992 34412 39328 57736 68824 81449 97091 115472 137648 162898 194182 230944 275296 325796 388364 570143 651592 679637 776728 1140286 1267099 1303184 1359274 1553456 2280572 2534198 2606368 2718548 3106912 4561144 5068396 5437096 8869693 9122288 10136792 10874192 17739386 18244576 20273584 21748384 35478772 40547168 70957544 100100821 141915088 200201642 283830176 400403284 700705747 800806568 1401411494 1601613136 2802822988 3203226272 5605645976 11211291952 22422583904