112248224 has 48 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 50434560.

The previous prime is 112248209. The next prime is 112248233. The reversal of 112248224 is 422842211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112248193 and 112248202.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29537 + ... + 33119.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^112248224 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 112248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

112248224 is an abundant number, since it is smaller than the sum of its proper divisors (131607136).

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

112248224 is a wasteful number, since it uses less digits than its factorization.

112248224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3685 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 112248224 is about 10594.7262352550. The cubic root of 112248224 is about 482.3842943402.

The spelling of 112248224 in words is "one hundred twelve million, two hundred forty-eight thousand, two hundred twenty-four".