225371791800 has 240 divisors, whose sum is σ = 808001409600. Its totient is φ = 58160332800.

The previous prime is 225371791739. The next prime is 225371791837. The reversal of 225371791800 is 8197173522.

225371791800 is a `hidden beast` number, since 22 + 537 + 1 + 7 + 91 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 277816 + ... + 726584.

It is an arithmetic number, because the mean of its divisors is an integer number (3366672540).

Almost surely, 2^225371791800 is an apocalyptic number.

225371791800 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 225371791800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404000704800).

225371791800 is an abundant number, since it is smaller than the sum of its proper divisors (582629617800).

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

225371791800 is a wasteful number, since it uses less digits than its factorization.

225371791800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448828 (or 448810 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 225371791800 in words is "two hundred twenty-five billion, three hundred seventy-one million, seven hundred ninety-one thousand, eight hundred".