233284272 has 80 divisors (see below), whose sum is σ = 653062368. Its totient is φ = 71331840.

The previous prime is 233284253. The next prime is 233284277. The reversal of 233284272 is 272482332.

It is not an unprimeable number, because it can be changed into a prime (233284277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106872 + ... + 109032.

Almost surely, 2^233284272 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 233284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326531184).

233284272 is an abundant number, since it is smaller than the sum of its proper divisors (419778096).

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

233284272 is a wasteful number, since it uses less digits than its factorization.

233284272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 233284272 is about 15273.6463229970. The cubic root of 233284272 is about 615.5950985056.

The spelling of 233284272 in words is "two hundred thirty-three million, two hundred eighty-four thousand, two hundred seventy-two".