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112219956 = 22323117221
BaseRepresentation
bin1101011000001…
…01011100110100
321211011100211200
412230011130310
5212212014311
615045132500
72531565612
oct654053464
9254140750
10112219956
1158388572
12316ba130
131a331954
1410c926b2
159cba556
hex6b05734

112219956 has 18 divisors (see below), whose sum is σ = 283667202. Its totient is φ = 37406640.

The previous prime is 112219883. The next prime is 112219997. The reversal of 112219956 is 659912211.

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 9400356 = 10140^2 + 3066^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3117221 = 112219956 / (1 + 1 + 2 + 2 + 1 + 9 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 112219956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1558575 + ... + 1558646.

It is an arithmetic number, because the mean of its divisors is an integer number (15759289).

Almost surely, 2112219956 is an apocalyptic number.

It is an amenable number.

112219956 is an abundant number, since it is smaller than the sum of its proper divisors (171447246).

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

112219956 is a wasteful number, since it uses less digits than its factorization.

112219956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117231 (or 3117226 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 112219956 is about 10593.3920912992. The cubic root of 112219956 is about 482.3437972360.

The spelling of 112219956 in words is "one hundred twelve million, two hundred nineteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3117221 6234442 9351663 12468884 18703326 28054989 37406652 56109978 112219956