228224 has 16 divisors (see below), whose sum is σ = 454920. Its totient is φ = 114048.

The previous prime is 228223. The next prime is 228233. The reversal of 228224 is 422822.

228224 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 tau number, because it is divible by the number of its divisors (16).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 228196 and 228205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 764 + ... + 1019.

2²²⁸²²⁴ is an apocalyptic number.

It is an amenable number.

228224 is a deficient number, since it is larger than the sum of its proper divisors (226696).

228224 is an equidigital number, since it uses as much as digits as its factorization.

228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1785 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 228224 is about 477.7279560587. The cubic root of 228224 is about 61.1111473523. Note that the first 4 decimals are identical.

The spelling of 228224 in words is "two hundred twenty-eight thousand, two hundred twenty-four".