225580950 has 240 divisors, whose sum is σ = 732795360. Its totient is φ = 50388480.

The previous prime is 225580933. The next prime is 225580951. The reversal of 225580950 is 59085522.

225580950 is a `hidden beast` number, since 2 + 25 + 580 + 9 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225580951) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2069496 + ... + 2069604.

It is an arithmetic number, because the mean of its divisors is an integer number (3053314).

Almost surely, 2^225580950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225580950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366397680).

225580950 is an abundant number, since it is smaller than the sum of its proper divisors (507214410).

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

225580950 is a wasteful number, since it uses less digits than its factorization.

225580950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 225580950 is about 15019.3525160041. The cubic root of 225580950 is about 608.7432245169.

The spelling of 225580950 in words is "two hundred twenty-five million, five hundred eighty thousand, nine hundred fifty".