232224 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 74240.

The previous prime is 232217. The next prime is 232259. The reversal of 232224 is 422232.

It is a tau number, because it is divible by the number of its divisors (48).

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3907 + ... + 3965.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²³²²²⁴ is an apocalyptic number.

232224 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 232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

232224 is an abundant number, since it is smaller than the sum of its proper divisors (402816).

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

232224 is a wasteful number, since it uses less digits than its factorization.

232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 232224 is about 481.8962543951. The cubic root of 232224 is about 61.4661059849.

Adding to 232224 its reverse (422232), we get a palindrome (654456).

It can be divided in two parts, 2322 and 24, that added together give a triangular number (2346 = T₆₈).

The spelling of 232224 in words is "two hundred thirty-two thousand, two hundred twenty-four".