225774864 has 200 divisors, whose sum is σ = 766284288. Its totient is φ = 62830080.

The previous prime is 225774863. The next prime is 225774869. The reversal of 225774864 is 468477522.

It is a happy number.

225774864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (225774863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371649 + ... + 372255.

Almost surely, 2^225774864 is an apocalyptic number.

225774864 is a gapful number since it is divisible by the number (24) 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 225774864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383142144).

225774864 is an abundant number, since it is smaller than the sum of its proper divisors (540509424).

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

225774864 is a wasteful number, since it uses less digits than its factorization.

225774864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 225774864 is about 15025.8066006454. The cubic root of 225774864 is about 608.9176039366.

The spelling of 225774864 in words is "two hundred twenty-five million, seven hundred seventy-four thousand, eight hundred sixty-four".