224752 has 20 divisors (see below), whose sum is σ = 475416. Its totient is φ = 102080.

The previous prime is 224743. The next prime is 224759. The reversal of 224752 is 257422.

224752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224759) 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 3 ways as a sum of consecutive naturals, for example, 463 + ... + 814.

2²²⁴⁷⁵² is an apocalyptic number.

224752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224752 is an abundant number, since it is smaller than the sum of its proper divisors (250664).

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

224752 is a wasteful number, since it uses less digits than its factorization.

224752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 224752 is about 474.0801619979. The cubic root of 224752 is about 60.7996652798.

It can be divided in two parts, 22 and 4752, that added together give a palindrome (4774).

The spelling of 224752 in words is "two hundred twenty-four thousand, seven hundred fifty-two".