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222120222200112 = 24317523520470659
BaseRepresentation
bin110010100000010001100100…
…111100010001000100110000
31002010110111010012012221221110
4302200101210330101010300
5213103204203340400422
62104224342115353320
764533441112565565
oct6240214474210460
91063414105187843
10222120222200112
1164857725851545
1220ab4478bb2840
1396c2b0204c2a2
143cbc96739886c
151aa2ccb64a60c
hexca0464f11130

222120222200112 has 80 divisors (see below), whose sum is σ = 608725828874880. Its totient is φ = 69551534969856.

The previous prime is 222120222200111. The next prime is 222120222200119. The reversal of 222120222200112 is 211002222021222.

It is a super-2 number, since 2×2221202222001122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222120222200111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 259808562 + ... + 260662097.

It is an arithmetic number, because the mean of its divisors is an integer number (7609072860936).

Almost surely, 2222120222200112 is an apocalyptic number.

It is an amenable number.

222120222200112 is an abundant number, since it is smaller than the sum of its proper divisors (386605606674768).

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

222120222200112 is a wasteful number, since it uses less digits than its factorization.

222120222200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520471210 (or 520471204 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 222120222200112 its reverse (211002222021222), we get a palindrome (433122444221334).

The spelling of 222120222200112 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 523 816 1046 1569 2092 3138 4184 6276 8368 8891 12552 17782 25104 26673 35564 53346 71128 106692 142256 213384 426768 520470659 1040941318 1561411977 2081882636 3122823954 4163765272 6245647908 8327530544 8848001203 12491295816 17696002406 24982591632 26544003609 35392004812 53088007218 70784009624 106176014436 141568019248 212352028872 272206154657 424704057744 544412309314 816618463971 1088824618628 1633236927942 2177649237256 3266473855884 4355298474512 4627504629169 6532947711768 9255009258338 13065895423536 13882513887507 18510018516676 27765027775014 37020037033352 55530055550028 74040074066704 111060111100056 222120222200112