225651444200 has 192 divisors, whose sum is σ = 679696080000. Its totient is φ = 67656176640.

The previous prime is 225651444199. The next prime is 225651444203. The reversal of 225651444200 is 2444156522.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (225651444203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19526 + ... + 672074.

It is an arithmetic number, because the mean of its divisors is an integer number (3540083750).

Almost surely, 2^225651444200 is an apocalyptic number.

225651444200 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 225651444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339848040000).

225651444200 is an abundant number, since it is smaller than the sum of its proper divisors (454044635800).

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

225651444200 is a wasteful number, since it uses less digits than its factorization.

225651444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652604 (or 652595 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 225651444200 in words is "two hundred twenty-five billion, six hundred fifty-one million, four hundred forty-four thousand, two hundred".