225761648 has 80 divisors (see below), whose sum is σ = 529489920. Its totient is φ = 91093248.

The previous prime is 225761617. The next prime is 225761681. The reversal of 225761648 is 846167522.

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, 589265 + ... + 589647.

It is an arithmetic number, because the mean of its divisors is an integer number (6618624).

Almost surely, 2^225761648 is an apocalyptic number.

225761648 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 225761648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264744960).

225761648 is an abundant number, since it is smaller than the sum of its proper divisors (303728272).

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

225761648 is a wasteful number, since it uses less digits than its factorization.

225761648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 225761648 is about 15025.3668174857. The cubic root of 225761648 is about 608.9057224662.

The spelling of 225761648 in words is "two hundred twenty-five million, seven hundred sixty-one thousand, six hundred forty-eight".