112256226 has 64 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 36054720.

The previous prime is 112256213. The next prime is 112256227. The reversal of 112256226 is 622652211.

112256226 is a `hidden beast` number, since 1 + 12 + 25 + 622 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112256226.

It is not an unprimeable number, because it can be changed into a prime (112256227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 174261 + ... + 174903.

It is an arithmetic number, because the mean of its divisors is an integer number (4042710).

Almost surely, 2^112256226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112256226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

112256226 is an abundant number, since it is smaller than the sum of its proper divisors (146477214).

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

112256226 is a wasteful number, since it uses less digits than its factorization.

112256226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 112256226 is about 10595.1038692407. The cubic root of 112256226 is about 482.3957568746.

The spelling of 112256226 in words is "one hundred twelve million, two hundred fifty-six thousand, two hundred twenty-six".