225655040 has 144 divisors (see below), whose sum is σ = 593381376. Its totient is φ = 81715200.

The previous prime is 225654959. The next prime is 225655051. The reversal of 225655040 is 40556522.

It is a junction number, because it is equal to n+sod(n) for n = 225654994 and 225655012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181345 + ... + 1181535.

It is an arithmetic number, because the mean of its divisors is an integer number (4120704).

Almost surely, 2^225655040 is an apocalyptic number.

225655040 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 225655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296690688).

225655040 is an abundant number, since it is smaller than the sum of its proper divisors (367726336).

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

225655040 is a wasteful number, since it uses less digits than its factorization.

225655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 225655040 is about 15021.8187980018. The cubic root of 225655040 is about 608.8098626035.

The spelling of 225655040 in words is "two hundred twenty-five million, six hundred fifty-five thousand, forty".