225691648 has 144 divisors (see below), whose sum is σ = 568598940. Its totient is φ = 88768512.

The previous prime is 225691619. The next prime is 225691667. The reversal of 225691648 is 846196522.

It can be written as a sum of positive squares in 2 ways, for example, as 225240064 + 451584 = 15008^2 + 672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1304490 + ... + 1304662.

Almost surely, 2^225691648 is an apocalyptic number.

225691648 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 225691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284299470).

225691648 is an abundant number, since it is smaller than the sum of its proper divisors (342907292).

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

225691648 is a wasteful number, since it uses less digits than its factorization.

225691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 225691648 is about 15023.0372428481. The cubic root of 225691648 is about 608.8427832159.

The spelling of 225691648 in words is "two hundred twenty-five million, six hundred ninety-one thousand, six hundred forty-eight".