225899998200900 has 243 divisors, whose sum is σ = 718008088440279. Its totient is φ = 59406136784640.

The previous prime is 225899998200889. The next prime is 225899998200907. The reversal of 225899998200900 is 9002899998522.

The square root of 225899998200900 is 15029970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1236112581636 + 224663885619264 = 1111806^2 + 14988792^2 .

It is not an unprimeable number, because it can be changed into a prime (225899998200907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32915630869 + ... + 32915637731.

Almost surely, 2^{225899998200900} is an apocalyptic number.

225899998200900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225899998200900 is the 15029970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225899998200900

225899998200900 is an abundant number, since it is smaller than the sum of its proper divisors (492108090239379).

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

225899998200900 is an frugal number, since it uses more digits than its factorization.

225899998200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13892 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 225899998200900 in words is "two hundred twenty-five trillion, eight hundred ninety-nine billion, nine hundred ninety-eight million, two hundred thousand, nine hundred".