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222214202412222 = 237913731831186481
BaseRepresentation
bin110010100001101001000110…
…100110010100110010111110
31002010210110200211120101122010
4302201221012212110302332
5213111224141304142342
62104335443441432050
764543306042322226
oct6241510646246276
91063713624511563
10222214202412222
1164893572170929
1220b0a72693b626
1396cb92b655257
143cc3320b39086
151aa547c13e29c
hexca1a46994cbe

222214202412222 has 64 divisors (see below), whose sum is σ = 450630262056960. Its totient is φ = 73040217868800.

The previous prime is 222214202412221. The next prime is 222214202412247.

222214202412222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2222142024122222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222214202412222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222214202412221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191525222 + ... + 1191711702.

It is an arithmetic number, because the mean of its divisors is an integer number (7041097844640).

Almost surely, 2222214202412222 is an apocalyptic number.

222214202412222 is an abundant number, since it is smaller than the sum of its proper divisors (228416059644738).

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

222214202412222 is a wasteful number, since it uses less digits than its factorization.

222214202412222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189769.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 22221420 and 2412222, that added together give a palindrome (24633642).

The spelling of 222214202412222 in words is "two hundred twenty-two trillion, two hundred fourteen billion, two hundred two million, four hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 79 158 237 474 1373 1831 2746 3662 4119 5493 8238 10986 108467 144649 186481 216934 289298 325401 372962 433947 559443 650802 867894 1118886 2513963 5027926 7541889 14731999 15083778 29463998 44195997 88391994 198603077 256038413 341446711 397206154 512076826 595809231 682893422 768115239 1024340133 1191618462 1536230478 2048680266 20227034627 26974290169 40454069254 53948580338 60681103881 80922870507 121362207762 161845741014 468806334203 937612668406 1406419002609 2812838005218 37035700402037 74071400804074 111107101206111 222214202412222