224532 has 84 divisors (see below), whose sum is σ = 734496. Its totient is φ = 58320.

The previous prime is 224527. The next prime is 224563. The reversal of 224532 is 235422.

224532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

Its product of digits (480) is a multiple of the sum of its prime factors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20407 + ... + 20417.

It is an arithmetic number, because the mean of its divisors is an integer number (8744).

224532 is a Friedman number, since it can be written as 42*22*3^5, using all its digits and the basic arithmetic operations.

2²²⁴⁵³² is an apocalyptic number.

224532 is a gapful number since it is divisible by the number (22) 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 224532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367248).

224532 is an abundant number, since it is smaller than the sum of its proper divisors (509964).

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

224532 is a wasteful number, since it uses less digits than its factorization.

224532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 224532 is about 473.8480769192. The cubic root of 224532 is about 60.7798207502.

Adding to 224532 its reverse (235422), we get a palindrome (459954).

It can be divided in two parts, 22 and 4532, that added together give a palindrome (4554).

The spelling of 224532 in words is "two hundred twenty-four thousand, five hundred thirty-two".