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22117671842 = 2728321812
BaseRepresentation
bin10100100110010100…
…001110001110100010
32010002102022010220012
4110212110032032202
5330244110444332
614054414244522
71412045052200
oct244624161642
963072263805
1022117671842
11941a938242
1243531b6742
1321163422b6
1410db652070
15896b243b2
hex52650e3a2

22117671842 has 54 divisors (see below), whose sum is σ = 39280673169. Its totient is φ = 9313058160.

The previous prime is 22117671841. The next prime is 22117671847. The reversal of 22117671842 is 24817671122.

It can be written as a sum of positive squares in 2 ways, for example, as 13367753161 + 8749918681 = 115619^2 + 93541^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105161.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22117671842.

It is not an unprimeable number, because it can be changed into a prime (22117671841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122196992 + ... + 122197172.

Almost surely, 222117671842 is an apocalyptic number.

22117671842 is a deficient number, since it is larger than the sum of its proper divisors (17163001327).

22117671842 is an frugal number, since it uses more digits than its factorization.

22117671842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 273 counting only the distinct ones).

The product of its digits is 75264, while the sum is 41.

The spelling of 22117671842 in words is "twenty-two billion, one hundred seventeen million, six hundred seventy-one thousand, eight hundred forty-two".

Divisors: 1 2 7 14 49 83 98 166 181 362 581 1162 1267 2534 4067 6889 8134 8869 13778 15023 17738 30046 32761 48223 65522 96446 105161 210322 229327 337561 458654 675122 736127 1246909 1472254 1605289 2493818 2719163 3210578 5438326 8728363 17456726 19034141 38068282 61098541 122197082 133238987 225690529 266477974 451381058 1579833703 3159667406 11058835921 22117671842