112929232 has 80 divisors (see below), whose sum is σ = 252640080. Its totient is φ = 48439296.

The previous prime is 112929227. The next prime is 112929233. The reversal of 112929232 is 232929211.

It can be written as a sum of positive squares in 8 ways, for example, as 11806096 + 101123136 = 3436^2 + 10056^2 .

It is a super-2 number, since 2×112929232² = 25506022880219648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112929194 and 112929203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112929233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385278 + ... + 385570.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001).

Almost surely, 2^112929232 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 112929232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126320040).

112929232 is an abundant number, since it is smaller than the sum of its proper divisors (139710848).

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

112929232 is a wasteful number, since it uses less digits than its factorization.

112929232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 112929232 is about 10626.8166446966. The cubic root of 112929232 is about 483.3578671124.

The spelling of 112929232 in words is "one hundred twelve million, nine hundred twenty-nine thousand, two hundred thirty-two".