228264 has 16 divisors (see below), whose sum is σ = 570720. Its totient is φ = 76080.

The previous prime is 228257. The next prime is 228281. The reversal of 228264 is 462822.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9511 = 228264 / (2 + 2 + 8 + 2 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4732 + ... + 4779.

It is an arithmetic number, because the mean of its divisors is an integer number (35670).

2²²⁸²⁶⁴ is an apocalyptic number.

228264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228264 is an abundant number, since it is smaller than the sum of its proper divisors (342456).

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

228264 is a wasteful number, since it uses less digits than its factorization.

228264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9516 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 228264 is about 477.7698190552. The cubic root of 228264 is about 61.1147173874.

It can be divided in two parts, 2282 and 64, that added together give a triangular number (2346 = T₆₈).

The spelling of 228264 in words is "two hundred twenty-eight thousand, two hundred sixty-four".