225200500308 has 288 divisors, whose sum is σ = 678994348032. Its totient is φ = 61583155200.

The previous prime is 225200500307. The next prime is 225200500319. The reversal of 225200500308 is 803005002522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225200500303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379764460 + ... + 379765052.

It is an arithmetic number, because the mean of its divisors is an integer number (2357619264).

Almost surely, 2^225200500308 is an apocalyptic number.

225200500308 is a gapful number since it is divisible by the number (28) 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 225200500308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339497174016).

225200500308 is an abundant number, since it is smaller than the sum of its proper divisors (453793847724).

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

225200500308 is a wasteful number, since it uses less digits than its factorization.

225200500308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 225200500308 in words is "two hundred twenty-five billion, two hundred million, five hundred thousand, three hundred eight".