233224320 has 384 divisors, whose sum is σ = 901402560. Its totient is φ = 51093504.

The previous prime is 233224267. The next prime is 233224331. The reversal of 233224320 is 23422332.

233224320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3480927 + ... + 3480993.

Almost surely, 2^233224320 is an apocalyptic number.

233224320 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 233224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450701280).

233224320 is an abundant number, since it is smaller than the sum of its proper divisors (668178240).

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

233224320 is a wasteful number, since it uses less digits than its factorization.

233224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 233224320 is about 15271.6836007036. The cubic root of 233224320 is about 615.5423598176.

Adding to 233224320 its reverse (23422332), we get a palindrome (256646652).

The spelling of 233224320 in words is "two hundred thirty-three million, two hundred twenty-four thousand, three hundred twenty".