225656448 has 64 divisors (see below), whose sum is σ = 602616000. Its totient is φ = 74815488.

The previous prime is 225656441. The next prime is 225656449. The reversal of 225656448 is 844656522.

It is a happy number.

225656448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (225656441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74940 + ... + 77892.

It is an arithmetic number, because the mean of its divisors is an integer number (9415875).

Almost surely, 2^225656448 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 225656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301308000).

225656448 is an abundant number, since it is smaller than the sum of its proper divisors (376959552).

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

225656448 is a wasteful number, since it uses less digits than its factorization.

225656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3157 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 225656448 is about 15021.8656630926. The cubic root of 225656448 is about 608.8111288467.

The spelling of 225656448 in words is "two hundred twenty-five million, six hundred fifty-six thousand, four hundred forty-eight".