225195600 has 480 divisors, whose sum is σ = 929940480. Its totient is φ = 45342720.

The previous prime is 225195589. The next prime is 225195613. The reversal of 225195600 is 6591522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2713159 + ... + 2713241.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^225195600 is an apocalyptic number.

225195600 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 225195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

225195600 is an abundant number, since it is smaller than the sum of its proper divisors (704744880).

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

225195600 is a wasteful number, since it uses less digits than its factorization.

225195600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 225195600 is about 15006.5185836023. The cubic root of 225195600 is about 608.3963972069.

The spelling of 225195600 in words is "two hundred twenty-five million, one hundred ninety-five thousand, six hundred".