225655248 has 160 divisors (see below), whose sum is σ = 755507200. Its totient is φ = 56360448.

The previous prime is 225655247. The next prime is 225655273. The reversal of 225655248 is 842556522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225655247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81633 + ... + 84351.

It is an arithmetic number, because the mean of its divisors is an integer number (4721920).

Almost surely, 2^225655248 is an apocalyptic number.

225655248 is a gapful number since it is divisible by the number (28) 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 225655248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377753600).

225655248 is an abundant number, since it is smaller than the sum of its proper divisors (529851952).

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

225655248 is a wasteful number, since it uses less digits than its factorization.

225655248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2763 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 225655248 is about 15021.8257212630. The cubic root of 225655248 is about 608.8100496625.

The spelling of 225655248 in words is "two hundred twenty-five million, six hundred fifty-five thousand, two hundred forty-eight".