225122200600 has 192 divisors, whose sum is σ = 591927471360. Its totient is φ = 78902668800.

The previous prime is 225122200577. The next prime is 225122200609. The reversal of 225122200600 is 6002221522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225122200609) 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, 8696877 + ... + 8722723.

It is an arithmetic number, because the mean of its divisors is an integer number (3082955580).

Almost surely, 2^225122200600 is an apocalyptic number.

225122200600 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 225122200600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963735680).

225122200600 is an abundant number, since it is smaller than the sum of its proper divisors (366805270760).

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

225122200600 is a wasteful number, since it uses less digits than its factorization.

225122200600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26018 (or 26009 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 225122200600 in words is "two hundred twenty-five billion, one hundred twenty-two million, two hundred thousand, six hundred".