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222131131222 = 271113317150411
BaseRepresentation
bin1100111011100000001…
…1000001001101010110
3210020100200220122012011
43032320003001031112
512114411032144342
6250013505014434
722022421314320
oct3167003011526
9706320818164
10222131131222
11862292616a0
123707332441a
1317c403947b0
14aa73438610
155ba1356717
hex33b80c1356

222131131222 has 128 divisors (see below), whose sum is σ = 468313767936. Its totient is φ = 76219920000.

The previous prime is 222131131153. The next prime is 222131131247.

222131131222 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222131131193 and 222131131202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4381197 + ... + 4431607.

It is an arithmetic number, because the mean of its divisors is an integer number (3658701312).

Almost surely, 2222131131222 is an apocalyptic number.

222131131222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222131131222 is an abundant number, since it is smaller than the sum of its proper divisors (246182636714).

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

222131131222 is a wasteful number, since it uses less digits than its factorization.

222131131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50546.

The product of its digits is 576, while the sum is 22.

Multiplying 222131131222 by its sum of digits (22), we get a palindrome (4886884886884).

It can be divided in two parts, 222131 and 131222, that added together give a palindrome (353353).

The spelling of 222131131222 in words is "two hundred twenty-two billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 31 62 71 77 91 142 143 154 182 217 286 341 403 434 497 682 781 806 923 994 1001 1562 1846 2002 2201 2387 2821 4402 4433 4774 5467 5642 6461 8866 10153 10934 12922 15407 20306 24211 28613 30814 31031 48422 50411 57226 62062 71071 100822 142142 169477 200291 314743 338954 352877 400582 554521 629486 655343 705754 1109042 1310686 1562741 2203201 3125482 3579181 3881647 4406402 4587401 7158362 7208773 7763294 9174802 10939187 14417546 17190151 20315633 21878374 25054267 34380302 39370991 40631266 46529353 50108534 50461411 78741982 93058706 100922822 110954611 120331057 142209431 221909222 223471963 240662114 275596937 284418862 325705471 446943926 511822883 551193874 651410942 776682277 1023645766 1220500721 1442409943 1553364554 1564303741 2441001442 2884819886 3128607482 3582760181 7165520362 8543505047 10096869601 15866509373 17087010094 20193739202 31733018746 111065565611 222131131222