45362200 has 96 divisors (see below), whose sum is σ = 115617600. Its totient is φ = 16450560.

The previous prime is 45362189. The next prime is 45362221. The reversal of 45362200 is 226354.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189681 + ... + 189919.

It is an arithmetic number, because the mean of its divisors is an integer number (1204350).

Almost surely, 2^45362200 is an apocalyptic number.

45362200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808800).

45362200 is an abundant number, since it is smaller than the sum of its proper divisors (70255400).

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

45362200 is a wasteful number, since it uses less digits than its factorization.

45362200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 45362200 is about 6735.1466205273. The cubic root of 45362200 is about 356.6410827817.

Adding to 45362200 its reverse (226354), we get a palindrome (45588554).

The spelling of 45362200 in words is "forty-five million, three hundred sixty-two thousand, two hundred".