45322200 has 384 divisors, whose sum is σ = 196416000. Its totient is φ = 9331200.

The previous prime is 45322181. The next prime is 45322229. The reversal of 45322200 is 222354.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415746 + ... + 415854.

It is an arithmetic number, because the mean of its divisors is an integer number (511500).

Almost surely, 2^45322200 is an apocalyptic number.

45322200 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 45322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

45322200 is an abundant number, since it is smaller than the sum of its proper divisors (151093800).

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

45322200 is a wasteful number, since it uses less digits than its factorization.

45322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45322200 is about 6732.1764682753. The cubic root of 45322200 is about 356.5362242690.

Adding to 45322200 its reverse (222354), we get a palindrome (45544554).

The spelling of 45322200 in words is "forty-five million, three hundred twenty-two thousand, two hundred".