224032 has 12 divisors (see below), whose sum is σ = 441126. Its totient is φ = 112000.

The previous prime is 224027. The next prime is 224033. The reversal of 224032 is 230422.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 26896 = 444^2 + 164^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (224033) by changing a digit.

224032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3469 + ... + 3532.

2²²⁴⁰³² is an apocalyptic number.

It is an amenable number.

224032 is a deficient number, since it is larger than the sum of its proper divisors (217094).

224032 is an equidigital number, since it uses as much as digits as its factorization.

224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 224032 is about 473.3201876109. The cubic root of 224032 is about 60.7346712893.

Adding to 224032 its reverse (230422), we get a palindrome (454454).

The spelling of 224032 in words is "two hundred twenty-four thousand, thirty-two".