228033264 has 80 divisors (see below), whose sum is σ = 615496320. Its totient is φ = 72656640.

The previous prime is 228033161. The next prime is 228033271. The reversal of 228033264 is 462330822.

228033264 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148179 + ... + 149709.

It is an arithmetic number, because the mean of its divisors is an integer number (7693704).

Almost surely, 2^228033264 is an apocalyptic number.

228033264 is a gapful number since it is divisible by the number (24) 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 228033264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307748160).

228033264 is an abundant number, since it is smaller than the sum of its proper divisors (387463056).

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

228033264 is a wasteful number, since it uses less digits than its factorization.

228033264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 228033264 is about 15100.7703114775. The cubic root of 228033264 is about 610.9411825739.

The spelling of 228033264 in words is "two hundred twenty-eight million, thirty-three thousand, two hundred sixty-four".