225778560 has 256 divisors, whose sum is σ = 835453440. Its totient is φ = 50798592.

The previous prime is 225778537. The next prime is 225778571. The reversal of 225778560 is 65877522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1438002 + ... + 1438158.

It is an arithmetic number, because the mean of its divisors is an integer number (3263490).

Almost surely, 2^225778560 is an apocalyptic number.

225778560 is a gapful number since it is divisible by the number (20) 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 225778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417726720).

225778560 is an abundant number, since it is smaller than the sum of its proper divisors (609674880).

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

225778560 is a wasteful number, since it uses less digits than its factorization.

225778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 225778560 is about 15025.9295885479. The cubic root of 225778560 is about 608.9209266377.

The spelling of 225778560 in words is "two hundred twenty-five million, seven hundred seventy-eight thousand, five hundred sixty".