225782550 has 144 divisors (see below), whose sum is σ = 698511840. Its totient is φ = 51217920.

The previous prime is 225782507. The next prime is 225782569. The reversal of 225782550 is 55287522.

225782550 is a `hidden beast` number, since 2 + 25 + 7 + 82 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 721194 + ... + 721506.

Almost surely, 2^225782550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225782550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349255920).

225782550 is an abundant number, since it is smaller than the sum of its proper divisors (472729290).

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

225782550 is a wasteful number, since it uses less digits than its factorization.

225782550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 225782550 is about 15026.0623584491. The cubic root of 225782550 is about 608.9245136039.

The spelling of 225782550 in words is "two hundred twenty-five million, seven hundred eighty-two thousand, five hundred fifty".