224952 has 64 divisors (see below), whose sum is σ = 698880. Its totient is φ = 58752.

The previous prime is 224951. The next prime is 224969. The reversal of 224952 is 259422.

224952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2133 + ... + 2235.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2²²⁴⁹⁵² 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 224952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440).

224952 is an abundant number, since it is smaller than the sum of its proper divisors (473928).

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

224952 is a wasteful number, since it uses less digits than its factorization.

224952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 224952 is about 474.2910498839. The cubic root of 224952 is about 60.8176945267.

It can be divided in two parts, 224 and 952, that added together give a triangular number (1176 = T₄₈).

The spelling of 224952 in words is "two hundred twenty-four thousand, nine hundred fifty-two".