224538 has 8 divisors (see below), whose sum is σ = 449088. Its totient is φ = 74844.

The previous prime is 224527. The next prime is 224563. The reversal of 224538 is 835422.

It is a sphenic number, since it is the product of 3 distinct primes.

224538 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2¹⁶ + 2¹⁶ + 5⁴ + 4⁵ + 3¹⁰ + 8⁵ .

It is a Curzon number.

It is a nialpdrome in base 8.

It is an unprimeable number.

224538 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 in 3 ways as a sum of consecutive naturals, for example, 18706 + ... + 18717.

It is an arithmetic number, because the mean of its divisors is an integer number (56136).

2²²⁴⁵³⁸ is an apocalyptic number.

224538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

224538 is a wasteful number, since it uses less digits than its factorization.

224538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37428.

The product of its digits is 1920, while the sum is 24.

The square root of 224538 is about 473.8544080200. The cubic root of 224538 is about 60.7803621366.

It can be divided in two parts, 22 and 4538, that added together give a triangular number (4560 = T₉₅).

The spelling of 224538 in words is "two hundred twenty-four thousand, five hundred thirty-eight".