112258208 has 48 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 51588096.

The previous prime is 112258199. The next prime is 112258229. The reversal of 112258208 is 802852211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20993 + ... + 25791.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^112258208 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 112258208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

112258208 is an abundant number, since it is smaller than the sum of its proper divisors (127242592).

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

112258208 is a wasteful number, since it uses less digits than its factorization.

112258208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 112258208 is about 10595.1974025971. The cubic root of 112258208 is about 482.3985959236.

The spelling of 112258208 in words is "one hundred twelve million, two hundred fifty-eight thousand, two hundred eight".