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22102029642 = 2371131920809
BaseRepresentation
bin10100100101011000…
…100011010101001010
32010001022212102211110
4110211120203111022
5330231104422032
614053055111150
71411465103130
oct244530432512
963038772743
1022102029642
119412024000
124349b124b6
132113026564
1410d953d750
158955847cc
hex52562354a

22102029642 has 128 divisors (see below), whose sum is σ = 58494412800. Its totient is φ = 5438378880.

The previous prime is 22102029619. The next prime is 22102029659. The reversal of 22102029642 is 24692020122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1051734 + ... + 1072542.

It is an arithmetic number, because the mean of its divisors is an integer number (456987600).

Almost surely, 222102029642 is an apocalyptic number.

22102029642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102029642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29247206400).

22102029642 is an abundant number, since it is smaller than the sum of its proper divisors (36392383158).

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

22102029642 is a wasteful number, since it uses less digits than its factorization.

22102029642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20873 (or 20851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 22102029642 its reverse (24692020122), we get a palindrome (46794049764).

The spelling of 22102029642 in words is "twenty-two billion, one hundred two million, twenty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 242 266 363 399 418 462 627 726 798 847 1254 1331 1463 1694 2299 2541 2662 2926 3993 4389 4598 5082 6897 7986 8778 9317 13794 16093 18634 20809 25289 27951 32186 41618 48279 50578 55902 62427 75867 96558 124854 145663 151734 177023 228899 291326 354046 395371 436989 457798 531069 686697 790742 873978 1062138 1186113 1373394 1602293 2372226 2517889 2767597 3204586 4349081 4806879 5035778 5535194 7553667 8302791 8698162 9613758 13047243 15107334 16605582 17625223 26094486 27696779 30443567 35250446 47839891 52875669 55393558 60887134 83090337 91330701 95679782 105751338 143519673 166180674 182661402 193877453 287039346 334879237 387754906 526238801 581632359 669758474 1004637711 1052477602 1163264718 1578716403 2009275422 3157432806 3683671607 7367343214 11051014821 22102029642