233114112 has 400 divisors, whose sum is σ = 879354432. Its totient is φ = 59719680.

The previous prime is 233114111. The next prime is 233114117. The reversal of 233114112 is 211411332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (233114111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193308 + ... + 3193380.

Almost surely, 2^233114112 is an apocalyptic number.

233114112 is a gapful number since it is divisible by the number (22) 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 233114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439677216).

233114112 is an abundant number, since it is smaller than the sum of its proper divisors (646240320).

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

233114112 is an equidigital number, since it uses as much as digits as its factorization.

233114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 233114112 is about 15268.0749277700. The cubic root of 233114112 is about 615.4453882545.

Adding to 233114112 its reverse (211411332), we get a palindrome (444525444).

The spelling of 233114112 in words is "two hundred thirty-three million, one hundred fourteen thousand, one hundred twelve".