45092200 has 24 divisors (see below), whose sum is σ = 104839830. Its totient is φ = 18036800.

The previous prime is 45092153. The next prime is 45092207. The reversal of 45092200 is 229054.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24860196 + 20232004 = 4986^2 + 4498^2 .

It is not an unprimeable number, because it can be changed into a prime (45092207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112531 + ... + 112930.

Almost surely, 2^45092200 is an apocalyptic number.

45092200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45092200 is an abundant number, since it is smaller than the sum of its proper divisors (59747630).

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

45092200 is a wasteful number, since it uses less digits than its factorization.

45092200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225477 (or 225468 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45092200 is about 6715.0725982673. The cubic root of 45092200 is about 355.9320873694.

The spelling of 45092200 in words is "forty-five million, ninety-two thousand, two hundred".