45348224 has 32 divisors (see below), whose sum is σ = 90739200. Its totient is φ = 22574592.

The previous prime is 45348217. The next prime is 45348229. The reversal of 45348224 is 42284354.

45348224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×45348224² = 4112922839908352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45348229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34817 + ... + 36095.

It is an arithmetic number, because the mean of its divisors is an integer number (2835600).

Almost surely, 2^45348224 is an apocalyptic number.

It is an amenable number.

45348224 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

45348224 is a wasteful number, since it uses less digits than its factorization.

45348224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1558 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 45348224 is about 6734.1089982269. The cubic root of 45348224 is about 356.6044522262.

The spelling of 45348224 in words is "forty-five million, three hundred forty-eight thousand, two hundred twenty-four".