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224112323211422 = 217731372773476857
BaseRepresentation
bin110010111101010000110111…
…011010100011000010011110
31002101111221002010201121110212
4302331100313122203002132
5213333324014220231142
62112351440245532422
765130403202030252
oct6275206732430236
91071457063647425
10224112323211422
11654555589471a8
1221176577714112
139808916c79449
143d4b146b56262
151ad9a20e31d82
hexcbd4376a309e

224112323211422 has 128 divisors (see below), whose sum is σ = 365869398669696. Its totient is φ = 102576382083072.

The previous prime is 224112323211323. The next prime is 224112323211457.

It is a happy number.

224112323211422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2241123232114222 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 32683724618 + ... + 32683731474.

It is an arithmetic number, because the mean of its divisors is an integer number (2858354677107).

Almost surely, 2224112323211422 is an apocalyptic number.

224112323211422 is a deficient number, since it is larger than the sum of its proper divisors (141757075458274).

224112323211422 is a wasteful number, since it uses less digits than its factorization.

224112323211422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710.

The product of its digits is 18432, while the sum is 32.

The spelling of 224112323211422 in words is "two hundred twenty-four trillion, one hundred twelve billion, three hundred twenty-three million, two hundred eleven thousand, four hundred twenty-two".

Divisors: 1 2 17 34 73 137 146 274 277 347 554 694 1241 2329 2482 4658 4709 5899 6857 9418 10001 11798 13714 20002 20221 25331 37949 40442 47539 50662 75898 95078 96119 116569 170017 192238 233138 340034 343757 430627 500561 645133 687514 808163 861254 939409 1001122 1290266 1616326 1634023 1878818 1899389 2379379 2770277 3268046 3470347 3798778 4758758 5540554 6940694 7016687 8509537 13168303 14033374 15969953 17019074 26336606 31939906 32289613 40449443 47094709 58995899 64579226 68576857 80898886 94189418 117991798 119283679 137153714 138655397 173694667 223861151 238567358 260216293 277310794 325974923 347389334 447722302 520432586 651949846 659087983 961286119 1165806569 1318175966 1922572238 2331613138 2357141749 2952809339 4423676981 4714283498 5541573691 5905618678 8847353962 11083147382 11204495711 16341864023 18995789389 22408991422 23796169379 32683728046 37991578778 47592338758 48113422759 90295053671 96226845518 180590107342 322928419613 404534879443 645856839226 809069758886 817928186903 1535015912407 1635856373806 3070031824814 6591538917983 13183077835966 112056161605711 224112323211422