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222022120212112 = 24112293954511973
BaseRepresentation
bin110010011110110110001101…
…100110111000011010010000
31002010010002220022000121200111
4302132312031212320122100
5213100102300233241422
62104111315353331104
764523366053500013
oct6236661546703220
91063102808017614
10222022120212112
116481a063833a00
1220a9945aa06a94
1396b679982858c
143cb7cdc44537a
151aa0488d79a77
hexc9ed8d9b8690

222022120212112 has 60 divisors (see below), whose sum is σ = 489133586064060. Its totient is φ = 97439174990080.

The previous prime is 222022120212097. The next prime is 222022120212121. The reversal of 222022120212112 is 211212021220222.

222022120212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39259948882176 + 182762171329936 = 6265776^2 + 13518956^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1977199843 + ... + 1977312130.

It is an arithmetic number, because the mean of its divisors is an integer number (8152226434401).

Almost surely, 2222022120212112 is an apocalyptic number.

222022120212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222022120212112 is an abundant number, since it is smaller than the sum of its proper divisors (267111465851948).

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

222022120212112 is a wasteful number, since it uses less digits than its factorization.

222022120212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954512032 (or 3954512015 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 222022120212112 its reverse (211212021220222), we get a palindrome (433234141432334).

The spelling of 222022120212112 in words is "two hundred twenty-two trillion, twenty-two billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2552 3509 5104 7018 14036 28072 56144 3954511973 7909023946 15818047892 31636095784 43499631703 63272191568 86999263406 114680847217 173998526812 229361694434 347997053624 458723388868 478495948733 695994107248 917446777736 956991897466 1261489319387 1834893555472 1913983794932 2522978638774 3827967589864 5045957277548 7655935179728 10091914555096 13876382513257 20183829110192 27752765026514 55505530053028 111011060106056 222022120212112