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22422402144 = 2532175937723
BaseRepresentation
bin10100111000011110…
…101011010001100000
32010212122201001021200
4110320132223101200
5331410113332034
614144541521200
71422435162552
oct247036532140
963778631250
1022422402144
11956695266a
124419273200
13216450819c
141129cd74d2
158b3769a99
hex5387ab460

22422402144 has 144 divisors (see below), whose sum is σ = 67637121552. Its totient is φ = 7021707264.

The previous prime is 22422402131. The next prime is 22422402179. The reversal of 22422402144 is 44120422422.

22422402144 is a `hidden beast` number, since 2 + 242 + 2 + 402 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2899467 + ... + 2907189.

It is an arithmetic number, because the mean of its divisors is an integer number (469702233).

Almost surely, 222422402144 is an apocalyptic number.

22422402144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22422402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33818560776).

22422402144 is an abundant number, since it is smaller than the sum of its proper divisors (45214719408).

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

22422402144 is a wasteful number, since it uses less digits than its factorization.

22422402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8349 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22422402144 its reverse (44120422422), we get a palindrome (66542824566).

The spelling of 22422402144 in words is "twenty-two billion, four hundred twenty-two million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 593 612 816 1186 1224 1632 1779 2372 2448 3558 4744 4896 5337 7116 7723 9488 10081 10674 14232 15446 18976 20162 21348 23169 28464 30243 30892 40324 42696 46338 56928 60486 61784 69507 80648 85392 90729 92676 120972 123568 131291 139014 161296 170784 181458 185352 241944 247136 262582 278028 322592 362916 370704 393873 483888 525164 556056 725832 741408 787746 967776 1050328 1112112 1181619 1451664 1575492 2100656 2224224 2363238 2903328 3150984 4201312 4579739 4726476 6301968 9159478 9452952 12603936 13739217 18318956 18905904 27478434 36637912 37811808 41217651 54956868 73275824 77855563 82435302 109913736 146551648 155711126 164870604 219827472 233566689 311422252 329741208 439654944 467133378 622844504 659482416 700700067 934266756 1245689008 1318964832 1401400134 1868533512 2491378016 2802800268 3737067024 5605600536 7474134048 11211201072 22422402144