233414720 has 112 divisors (see below), whose sum is σ = 693042048. Its totient is φ = 72744960.

The previous prime is 233414669. The next prime is 233414807. The reversal of 233414720 is 27414332.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 233414720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19904 + ... + 29376.

Almost surely, 2^233414720 is an apocalyptic number.

233414720 is a gapful number since it is divisible by the number (20) 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 233414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346521024).

233414720 is an abundant number, since it is smaller than the sum of its proper divisors (459627328).

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

233414720 is a wasteful number, since it uses less digits than its factorization.

233414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 233414720 is about 15277.9160882628. The cubic root of 233414720 is about 615.7098200359.

The spelling of 233414720 in words is "two hundred thirty-three million, four hundred fourteen thousand, seven hundred twenty".