45188224 has 32 divisors (see below), whose sum is σ = 91735740. Its totient is φ = 22164480.

The previous prime is 45188219. The next prime is 45188233. The reversal of 45188224 is 42288154.

It can be written as a sum of positive squares in 2 ways, for example, as 38837824 + 6350400 = 6232^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 45188224.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3454 + ... + 10114.

Almost surely, 2^45188224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45867870).

45188224 is an abundant number, since it is smaller than the sum of its proper divisors (46547516).

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

45188224 is an equidigital number, since it uses as much as digits as its factorization.

45188224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6716 counting only the distinct ones).

The product of its digits is 20480, while the sum is 34.

The square root of 45188224 is about 6722.2186813581. The cubic root of 45188224 is about 356.1845611208.

The spelling of 45188224 in words is "forty-five million, one hundred eighty-eight thousand, two hundred twenty-four".