182224 has 20 divisors (see below), whose sum is σ = 403744. Its totient is φ = 78048.

The previous prime is 182209. The next prime is 182233. The reversal of 182224 is 422281.

182224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

182224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 702 + ... + 925.

2¹⁸²²²⁴ is an apocalyptic number.

182224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

182224 is an abundant number, since it is smaller than the sum of its proper divisors (221520).

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

182224 is a wasteful number, since it uses less digits than its factorization.

182224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 182224 is about 426.8770314739. The cubic root of 182224 is about 56.6937509897.

It can be divided in two parts, 182 and 224, that added together give a triangular number (406 = T₂₈).

The spelling of 182224 in words is "one hundred eighty-two thousand, two hundred twenty-four".