225144648 has 24 divisors (see below), whose sum is σ = 609766950. Its totient is φ = 75048192.

The previous prime is 225144641. The next prime is 225144671. The reversal of 225144648 is 846441522.

225144648 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 4 + 4 + 648 = 666.

225144648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199317924 + 25826724 = 14118^2 + 5082^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×225144648³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225144641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1563433 + ... + 1563576.

Almost surely, 2^225144648 is an apocalyptic number.

It is an amenable number.

225144648 is an abundant number, since it is smaller than the sum of its proper divisors (384622302).

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

225144648 is a wasteful number, since it uses less digits than its factorization.

225144648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127021 (or 3127014 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 225144648 is about 15004.8208253214. The cubic root of 225144648 is about 608.3505091708.

The spelling of 225144648 in words is "two hundred twenty-five million, one hundred forty-four thousand, six hundred forty-eight".