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222212010002112 = 2632131011671759397
BaseRepresentation
bin110010100001100111000011…
…111010111100011011000000
31002010210021001001011102100200
4302201213003322330123000
5213111210144030031422
62104334442122445200
764543200521204064
oct6241470372743300
91063707031142320
10222212010002112
1164892647655749
1220b0a214663800
1396cb66c380470
143cc31938b5aa4
151aa539e9212ac
hexca19c3ebc6c0

222212010002112 has 336 divisors, whose sum is σ = 696865005974592. Its totient is φ = 67290563174400.

The previous prime is 222212010001999. The next prime is 222212010002237. The reversal of 222212010002112 is 211200010212222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 125420398 + ... + 127179794.

It is an arithmetic number, because the mean of its divisors is an integer number (2074002993972).

Almost surely, 2222212010002112 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 222212010002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348432502987296).

222212010002112 is an abundant number, since it is smaller than the sum of its proper divisors (474652995972480).

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

222212010002112 is a wasteful number, since it uses less digits than its factorization.

222212010002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759696 (or 1759683 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222212010002112 its reverse (211200010212222), we get a palindrome (433412020214334).

The spelling of 222212010002112 in words is "two hundred twenty-two trillion, two hundred twelve billion, ten million, two thousand, one hundred twelve".