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222102112112 = 24199718114159
BaseRepresentation
bin1100111011011001010…
…0010100011101110000
3210020021200022022110022
43032312110110131300
512114331120041422
6250010551023012
722021616542436
oct3166624243560
9706250268408
10222102112112
1186213941161
123706566aa68
1317c3737411a
14aa6d642d56
155b9da23342
hex33b6514770

222102112112 has 80 divisors (see below), whose sum is σ = 458004019200. Its totient is φ = 104039147520.

The previous prime is 222102112097. The next prime is 222102112129. The reversal of 222102112112 is 211211201222.

222102112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2221021121122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53400689 + ... + 53404847.

It is an arithmetic number, because the mean of its divisors is an integer number (5725050240).

Almost surely, 2222102112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222102112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229002009600).

222102112112 is an abundant number, since it is smaller than the sum of its proper divisors (235901907088).

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

222102112112 is a wasteful number, since it uses less digits than its factorization.

222102112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222102112112 its reverse (211211201222), we get a palindrome (433313313334).

The spelling of 222102112112 in words is "two hundred twenty-two billion, one hundred two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 97 152 194 304 388 776 1552 1811 1843 3622 3686 4159 7244 7372 8318 14488 14744 16636 28976 29488 33272 34409 66544 68818 79021 137636 158042 175667 275272 316084 351334 403423 550544 632168 702668 806846 1264336 1405336 1613692 2810672 3227384 3337673 6454768 6675346 7531949 7665037 13350692 15063898 15330074 26701384 30127796 30660148 53402768 60255592 61320296 120511184 122640592 143107031 286214062 572428124 730599053 1144856248 1461198106 2289712496 2922396212 5844792424 11689584848 13881382007 27762764014 55525528028 111051056056 222102112112