233419968 has 98 divisors (see below), whose sum is σ = 694610244. Its totient is φ = 77791104.

The previous prime is 233419943. The next prime is 233420009. The reversal of 233419968 is 869914332.

It is a happy number.

233419968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233419968² = 108969762922242048, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44155 + ... + 49157.

Almost surely, 2^233419968 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 233419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347305122).

233419968 is an abundant number, since it is smaller than the sum of its proper divisors (461190276).

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

233419968 is an frugal number, since it uses more digits than its factorization.

233419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5008 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 233419968 is about 15278.0878384698. The cubic root of 233419968 is about 615.7144344563.

The spelling of 233419968 in words is "two hundred thirty-three million, four hundred nineteen thousand, nine hundred sixty-eight".