225205776 has 60 divisors (see below), whose sum is σ = 632219952. Its totient is φ = 74835648.

The previous prime is 225205769. The next prime is 225205777. The reversal of 225205776 is 677502522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225205776.

It is not an unprimeable number, because it can be changed into a prime (225205777) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47715 + ... + 52221.

Almost surely, 2^225205776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225205776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316109976).

225205776 is an abundant number, since it is smaller than the sum of its proper divisors (407014176).

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

225205776 is a wasteful number, since it uses less digits than its factorization.

225205776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 225205776 is about 15006.8576324292. The cubic root of 225205776 is about 608.4055610160.

The spelling of 225205776 in words is "two hundred twenty-five million, two hundred five thousand, seven hundred seventy-six".