225205596 has 336 divisors, whose sum is σ = 793255680. Its totient is φ = 54120960.

The previous prime is 225205573. The next prime is 225205601. The reversal of 225205596 is 695502522.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 225205596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3817015 + ... + 3817073.

It is an arithmetic number, because the mean of its divisors is an integer number (2360880).

Almost surely, 2^225205596 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 225205596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396627840).

225205596 is an abundant number, since it is smaller than the sum of its proper divisors (568050084).

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

225205596 is a wasteful number, since it uses less digits than its factorization.

225205596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 225205596 is about 15006.8516351698. The cubic root of 225205596 is about 608.4053989227.

The spelling of 225205596 in words is "two hundred twenty-five million, two hundred five thousand, five hundred ninety-six".