225471888 has 120 divisors (see below), whose sum is σ = 649523160. Its totient is φ = 72990720.

The previous prime is 225471887. The next prime is 225471889. The reversal of 225471888 is 888174522.

It is a happy number.

225471888 is a `hidden beast` number, since 22 + 547 + 1 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (225471887) and next prime (225471889).

It can be written as a sum of positive squares in 4 ways, for example, as 33039504 + 192432384 = 5748^2 + 13872^2 .

It is not an unprimeable number, because it can be changed into a prime (225471887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935448 + ... + 935688.

It is an arithmetic number, because the mean of its divisors is an integer number (5412693).

Almost surely, 2^225471888 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 225471888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324761580).

225471888 is an abundant number, since it is smaller than the sum of its proper divisors (424051272).

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

225471888 is a wasteful number, since it uses less digits than its factorization.

225471888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 225471888 is about 15015.7213612933. The cubic root of 225471888 is about 608.6451053336.

The spelling of 225471888 in words is "two hundred twenty-five million, four hundred seventy-one thousand, eight hundred eighty-eight".