233321472 has 220 divisors, whose sum is σ = 728199780. Its totient is φ = 74317824.

The previous prime is 233321461. The next prime is 233321477. The reversal of 233321472 is 274123332.

It can be written as a sum of positive squares in 2 ways, for example, as 113550336 + 119771136 = 10656^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233321477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2405328 + ... + 2405424.

It is an arithmetic number, because the mean of its divisors is an integer number (3309999).

Almost surely, 2^233321472 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 233321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364099890).

233321472 is an abundant number, since it is smaller than the sum of its proper divisors (494878308).

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

233321472 is an equidigital number, since it uses as much as digits as its factorization.

233321472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 233321472 is about 15274.8640583149. The cubic root of 233321472 is about 615.6278181289.

The spelling of 233321472 in words is "two hundred thirty-three million, three hundred twenty-one thousand, four hundred seventy-two".