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222212013211122 = 231159313014364069
BaseRepresentation
bin110010100001100111000100…
…000111001011110111110010
31002010210021001021012110021220
4302201213010013023313302
5213111210200340223442
62104334442315325510
764543200560400564
oct6241470407136762
91063707037173256
10222212013211122
1164892649447720
1220b0a215750896
1396cb66cc34c9c
143cc31940ad334
151aa539ed56eec
hexca19c41cbdf2

222212013211122 has 64 divisors (see below), whose sum is σ = 486017189159040. Its totient is φ = 67171734656000.

The previous prime is 222212013211079. The next prime is 222212013211151. The reversal of 222212013211122 is 221112310212222.

222212013211122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222212013211092 and 222212013211101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48736504 + ... + 53100572.

It is an arithmetic number, because the mean of its divisors is an integer number (7594018580610).

Almost surely, 2222212013211122 is an apocalyptic number.

222212013211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222212013211122 is an abundant number, since it is smaller than the sum of its proper divisors (263805175947918).

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

222212013211122 is a wasteful number, since it uses less digits than its factorization.

222212013211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365979.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 222212013211122 its reverse (221112310212222), we get a palindrome (443324323423344).

The spelling of 222212013211122 in words is "two hundred twenty-two trillion, two hundred twelve billion, thirteen million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 593 1186 1301 1779 2602 3558 3903 6523 7806 13046 14311 19569 28622 39138 42933 85866 771493 1542986 2314479 4364069 4628958 8486423 8728138 13092207 16972846 25459269 26184414 48004759 50918538 96009518 144014277 288028554 2587892917 5175785834 5677653769 7763678751 11355307538 15527357502 17032961307 28466822087 34065922614 56933644174 62454191459 85400466261 124908382918 170800932522 187362574377 374725148754 3366848685017 6733697370034 10100546055051 20201092110102 37035335535187 74070671070374 111106006605561 222212013211122