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222211113112296 = 2332711487160151407
BaseRepresentation
bin110010100001100110001110…
…011101100101001011101000
31002010210011201112111200211100
4302201212032131211023220
5213111201324424043141
62104334213123201400
764543136350601010
oct6241461635451350
91063704645450740
10222211113112296
11648922273580a0
1220b0a004216260
1396cb558605629
143cc310a728c40
151aa534ad0b0b6
hexca198e7652e8

222211113112296 has 384 divisors, whose sum is σ = 752348200181760. Its totient is φ = 57561560064000.

The previous prime is 222211113112283. The next prime is 222211113112301. The reversal of 222211113112296 is 692211311112222.

222211113112296 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 111 + 311 + 229 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 222211113112296.

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 95 ways as a sum of consecutive naturals, for example, 4322559025 + ... + 4322610431.

It is an arithmetic number, because the mean of its divisors is an integer number (1959240104640).

Almost surely, 2222211113112296 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 222211113112296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376174100090880).

222211113112296 is an abundant number, since it is smaller than the sum of its proper divisors (530137087069464).

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

222211113112296 is a wasteful number, since it uses less digits than its factorization.

222211113112296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53525 (or 53518 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 222211113112296 in words is "two hundred twenty-two trillion, two hundred eleven billion, one hundred thirteen million, one hundred twelve thousand, two hundred ninety-six".