112243824 has 240 divisors, whose sum is σ = 401117184. Its totient is φ = 28454400.

The previous prime is 112243823. The next prime is 112243837. The reversal of 112243824 is 428342211.

It is a super-2 number, since 2×112243824² = 25197352052285952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112243823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587569 + ... + 587759.

Almost surely, 2^112243824 is an apocalyptic number.

112243824 is a gapful number since it is divisible by the number (14) 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 112243824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

112243824 is an abundant number, since it is smaller than the sum of its proper divisors (288873360).

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

112243824 is a wasteful number, since it uses less digits than its factorization.

112243824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 112243824 is about 10594.5185827389. The cubic root of 112243824 is about 482.3779912898.

The spelling of 112243824 in words is "one hundred twelve million, two hundred forty-three thousand, eight hundred twenty-four".