233432320 has 144 divisors (see below), whose sum is σ = 622520640. Its totient is φ = 83148800.

The previous prime is 233432209. The next prime is 233432323. The reversal of 233432320 is 23234332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 233432291 and 233432300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233432323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830580 + ... + 830860.

It is an arithmetic number, because the mean of its divisors is an integer number (4323060).

Almost surely, 2^233432320 is an apocalyptic number.

233432320 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 233432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311260320).

233432320 is an abundant number, since it is smaller than the sum of its proper divisors (389088320).

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

233432320 is a wasteful number, since it uses less digits than its factorization.

233432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 233432320 is about 15278.4920721909. The cubic root of 233432320 is about 615.7252949533.

Adding to 233432320 its reverse (23234332), we get a palindrome (256666652).

It can be divided in two parts, 23 and 3432320, that added together give a palindrome (3432343).

The spelling of 233432320 in words is "two hundred thirty-three million, four hundred thirty-two thousand, three hundred twenty".