112249296 has 60 divisors (see below), whose sum is σ = 318595680. Its totient is φ = 36886080.

The previous prime is 112249259. The next prime is 112249303. The reversal of 112249296 is 692942211.

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 112249296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4735 + ... + 15713.

It is an arithmetic number, because the mean of its divisors is an integer number (5309928).

Almost surely, 2^112249296 is an apocalyptic number.

112249296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112249296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297840).

112249296 is an abundant number, since it is smaller than the sum of its proper divisors (206346384).

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

112249296 is a wasteful number, since it uses less digits than its factorization.

112249296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11064 (or 11055 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 112249296 is about 10594.7768263423. The cubic root of 112249296 is about 482.3858299675.

The spelling of 112249296 in words is "one hundred twelve million, two hundred forty-nine thousand, two hundred ninety-six".