225686200800 has 144 divisors (see below), whose sum is σ = 735192944640. Its totient is φ = 60135114240.

The previous prime is 225686200787. The next prime is 225686200811. The reversal of 225686200800 is 8002686522.

It is a super-2 number, since 2×225686200800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3032839 + ... + 3106361.

It is an arithmetic number, because the mean of its divisors is an integer number (5105506560).

Almost surely, 2^225686200800 is an apocalyptic number.

225686200800 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 225686200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367596472320).

225686200800 is an abundant number, since it is smaller than the sum of its proper divisors (509506743840).

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

225686200800 is a wasteful number, since it uses less digits than its factorization.

225686200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74825 (or 74812 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 225686200800 in words is "two hundred twenty-five billion, six hundred eighty-six million, two hundred thousand, eight hundred".