225122800 has 240 divisors, whose sum is σ = 662582592. Its totient is φ = 71884800.

The previous prime is 225122791. The next prime is 225122803. The reversal of 225122800 is 8221522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225122803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247574 + ... + 4247626.

Almost surely, 2^225122800 is an apocalyptic number.

225122800 is a gapful number since it is divisible by the number (20) 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 225122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331291296).

225122800 is an abundant number, since it is smaller than the sum of its proper divisors (437459792).

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

225122800 is a wasteful number, since it uses less digits than its factorization.

225122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 225122800 is about 15004.0927749731. The cubic root of 225122800 is about 608.3308304561.

The spelling of 225122800 in words is "two hundred twenty-five million, one hundred twenty-two thousand, eight hundred".