225848448 has 144 divisors (see below), whose sum is σ = 756197910. Its totient is φ = 64512000.

The previous prime is 225848443. The next prime is 225848453. The reversal of 225848448 is 844848522.

225848448 is a `hidden beast` number, since 22 + 584 + 8 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (225848443) and next prime (225848453).

It can be written as a sum of positive squares in only one way, i.e., 223562304 + 2286144 = 14952^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225848443) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54448 + ... + 58448.

Almost surely, 2^225848448 is an apocalyptic number.

225848448 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 225848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378098955).

225848448 is an abundant number, since it is smaller than the sum of its proper divisors (530349462).

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

225848448 is a wasteful number, since it uses less digits than its factorization.

225848448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4013 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 225848448 is about 15028.2549885208. The cubic root of 225848448 is about 608.9837490709.

The spelling of 225848448 in words is "two hundred twenty-five million, eight hundred forty-eight thousand, four hundred forty-eight".