225538048 has 104 divisors (see below), whose sum is σ = 495391680. Its totient is φ = 102236160.

The previous prime is 225537971. The next prime is 225538081. The reversal of 225538048 is 840835522.

It is a super-2 number, since 2×225538048² = 101734822191300608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225537998 and 225538016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2854873 + ... + 2854951.

Almost surely, 2^225538048 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 225538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247695840).

225538048 is an abundant number, since it is smaller than the sum of its proper divisors (269853632).

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

225538048 is an equidigital number, since it uses as much as digits as its factorization.

225538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 225538048 is about 15017.9242240730. The cubic root of 225538048 is about 608.7046308951.

The spelling of 225538048 in words is "two hundred twenty-five million, five hundred thirty-eight thousand, forty-eight".