225797100 has 72 divisors (see below), whose sum is σ = 655166400. Its totient is φ = 60041280.

The previous prime is 225797057. The next prime is 225797107. The reversal of 225797100 is 1797522.

225797100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

225797100 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (225797107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132051 + ... + 133749.

Almost surely, 2^225797100 is an apocalyptic number.

225797100 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 225797100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327583200).

225797100 is an abundant number, since it is smaller than the sum of its proper divisors (429369300).

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

225797100 is a wasteful number, since it uses less digits than its factorization.

225797100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 225797100 is about 15026.5465094279. The cubic root of 225797100 is about 608.9375935362.

The spelling of 225797100 in words is "two hundred twenty-five million, seven hundred ninety-seven thousand, one hundred".