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112217984 = 274121383
BaseRepresentation
bin1101011000001…
…00111110000000
321211011021010122
412230010332000
5212211433414
615045115412
72531560064
oct654047600
9254137118
10112217984
115838703a
12316b8b68
131a330a98
1410c91aa4
159cb9b8e
hex6b04f80

112217984 has 32 divisors (see below), whose sum is σ = 229022640. Its totient is φ = 54737920.

The previous prime is 112217983. The next prime is 112218011. The reversal of 112217984 is 489712211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112217981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5444 + ... + 15939.

Almost surely, 2112217984 is an apocalyptic number.

It is an amenable number.

112217984 is an abundant number, since it is smaller than the sum of its proper divisors (116804656).

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

112217984 is an equidigital number, since it uses as much as digits as its factorization.

112217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21438 (or 21426 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 112217984 is about 10593.2990139994. The cubic root of 112217984 is about 482.3409718694.

The spelling of 112217984 in words is "one hundred twelve million, two hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 21383 42766 85532 171064 342128 684256 876703 1368512 1753406 2737024 3506812 7013624 14027248 28054496 56108992 112217984