45224 has 8 divisors (see below), whose sum is σ = 84810. Its totient is φ = 22608.

The previous prime is 45197. The next prime is 45233. The reversal of 45224 is 42254.

45224 = T₄₉ + T₅₀ + ... + T₇₂.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 12100 = 182^2 + 110^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is an unprimeable number.

45224 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, 2819 + ... + 2834.

2⁴⁵²²⁴ is an apocalyptic number.

It is an amenable number.

45224 is a deficient number, since it is larger than the sum of its proper divisors (39586).

45224 is a wasteful number, since it uses less digits than its factorization.

45224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5655 counting only the distinct ones).

The product of its digits is 320, while the sum is 17.

The square root of 45224 is about 212.6593520163. The cubic root of 45224 is about 35.6278534700.

Adding to 45224 its reverse (42254), we get a palindrome (87478).

The spelling of 45224 in words is "forty-five thousand, two hundred twenty-four".