252224 has 28 divisors (see below), whose sum is σ = 573024. Its totient is φ = 107904.

The previous prime is 252223. The next prime is 252233. The reversal of 252224 is 422252.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167 + ... + 729.

2²⁵²²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286512).

252224 is an abundant number, since it is smaller than the sum of its proper divisors (320800).

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

252224 is an equidigital number, since it uses as much as digits as its factorization.

252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its digits is 320, while the sum is 17.

The square root of 252224 is about 502.2190757030. The cubic root of 252224 is about 63.1823055736.

Adding to 252224 its reverse (422252), we get a palindrome (674476).

The spelling of 252224 in words is "two hundred fifty-two thousand, two hundred twenty-four".