233253240 has 128 divisors (see below), whose sum is σ = 772934400. Its totient is φ = 55838720.

The previous prime is 233253239. The next prime is 233253287. The reversal of 233253240 is 42352332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233253240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108496 + ... + 110624.

It is an arithmetic number, because the mean of its divisors is an integer number (6038550).

Almost surely, 2^233253240 is an apocalyptic number.

233253240 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 233253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386467200).

233253240 is an abundant number, since it is smaller than the sum of its proper divisors (539681160).

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

233253240 is a wasteful number, since it uses less digits than its factorization.

233253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 233253240 is about 15272.6304217708. The cubic root of 233253240 is about 615.5678013457.

It can be divided in two parts, 23325 and 3240, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 233253240 in words is "two hundred thirty-three million, two hundred fifty-three thousand, two hundred forty".