224512 has 18 divisors (see below), whose sum is σ = 448658. Its totient is φ = 112128.

The previous prime is 224501. The next prime is 224513. The reversal of 224512 is 215422.

It can be written as a sum of positive squares in only one way, i.e., 215296 + 9216 = 464^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224513) by changing a digit.

224512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 183 + ... + 694.

2²²⁴⁵¹² is an apocalyptic number.

It is an amenable number.

224512 is a deficient number, since it is larger than the sum of its proper divisors (224146).

224512 is an frugal number, since it uses more digits than its factorization.

224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 224512 is about 473.8269726387. The cubic root of 224512 is about 60.7780160594.

Adding to 224512 its reverse (215422), we get a palindrome (439934).

The spelling of 224512 in words is "two hundred twenty-four thousand, five hundred twelve".