112233216 has 72 divisors (see below), whose sum is σ = 300296304. Its totient is φ = 37212160.

The previous prime is 112233211. The next prime is 112233217. The reversal of 112233216 is 612332211.

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 = 112233192 and 112233201.

It is not an unprimeable number, because it can be changed into a prime (112233211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243226 + ... + 243686.

It is an arithmetic number, because the mean of its divisors is an integer number (4170782).

Almost surely, 2^112233216 is an apocalyptic number.

112233216 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 112233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150148152).

112233216 is an abundant number, since it is smaller than the sum of its proper divisors (188063088).

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

112233216 is an equidigital number, since it uses as much as digits as its factorization.

112233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 112233216 is about 10594.0179346648. The cubic root of 112233216 is about 482.3627945311.

Adding to 112233216 its reverse (612332211), we get a palindrome (724565427).

The spelling of 112233216 in words is "one hundred twelve million, two hundred thirty-three thousand, two hundred sixteen".