225070963200 has 240 divisors, whose sum is σ = 826121112960. Its totient is φ = 60018831360.

The previous prime is 225070963163. The next prime is 225070963207. The reversal of 225070963200 is 2369070522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225070963207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19977 + ... + 671223.

It is an arithmetic number, because the mean of its divisors is an integer number (3442171304).

Almost surely, 2^225070963200 is an apocalyptic number.

225070963200 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 225070963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413060556480).

225070963200 is an abundant number, since it is smaller than the sum of its proper divisors (601050149760).

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

225070963200 is an equidigital number, since it uses as much as digits as its factorization.

225070963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651284 (or 651257 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 225070963200 in words is "two hundred twenty-five billion, seventy million, nine hundred sixty-three thousand, two hundred".