224132 has 12 divisors (see below), whose sum is σ = 396060. Its totient is φ = 110976.

The previous prime is 224131. The next prime is 224149. The reversal of 224132 is 231422.

224132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 51076 = 416^2 + 226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224131) 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, 344 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (33005).

2²²⁴¹³² is an apocalyptic number.

It is an amenable number.

224132 is a deficient number, since it is larger than the sum of its proper divisors (171928).

224132 is a wasteful number, since it uses less digits than its factorization.

224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 224132 is about 473.4258125620. The cubic root of 224132 is about 60.7437065517.

Adding to 224132 its reverse (231422), we get a palindrome (455554).

The spelling of 224132 in words is "two hundred twenty-four thousand, one hundred thirty-two".