23224

23224 is a natural number between 23223 and 23225. Its prime factorization is 2 x 2 x 5806, which simplifies to 2^2 x 1451.5. This indicates it is not a prime number. The number 1451.5 is not an integer, so the prime factorization needs to be re-examined. Let's find the prime factors of 23224.

23224 is divisible by 2, yielding 11612.

11612 is also divisible by 2, yielding 5806.

5806 is again divisible by 2, yielding 2903.

Now we need to check if 2903 is a prime number. We can test divisibility by prime numbers up to the square root of 2903, which is approximately 53.8. Testing primes such as 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, we find that 2903 is not divisible by any of them. Therefore, 2903 is a prime number.

The prime factorization of 23224 is 2 x 2 x 2 x 2903, or 2^3 x 2903.

In other contexts, "23224" might refer to other entities. For instance, it could be part of a zip code, a product serial number, a model number, or a specific identifier in a database. Without further context, its meaning is limited to its mathematical properties.