225023020415200 has 144 divisors (see below), whose sum is σ = 628089499011744. Its totient is φ = 77116922265600.

The previous prime is 225023020415147. The next prime is 225023020415243. The reversal of 225023020415200 is 2514020320522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3965472 + ... + 21581728.

It is an arithmetic number, because the mean of its divisors is an integer number (4361732632026).

Almost surely, 2^{225023020415200} is an apocalyptic number.

225023020415200 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 225023020415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314044749505872).

225023020415200 is an abundant number, since it is smaller than the sum of its proper divisors (403066478596544).

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

225023020415200 is a wasteful number, since it uses less digits than its factorization.

225023020415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17618565 (or 17618552 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 225023020415200 its reverse (2514020320522), we get a palindrome (227537040735722).

The spelling of 225023020415200 in words is "two hundred twenty-five trillion, twenty-three billion, twenty million, four hundred fifteen thousand, two hundred".