225473040 has 360 divisors, whose sum is σ = 876138120. Its totient is φ = 51757056.

The previous prime is 225473033. The next prime is 225473041. The reversal of 225473040 is 40374522.

225473040 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 12 ways, for example, as 72999936 + 152473104 = 8544^2 + 12348^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 225472995 and 225473013.

It is not an unprimeable number, because it can be changed into a prime (225473041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2068506 + ... + 2068614.

It is an arithmetic number, because the mean of its divisors is an integer number (2433717).

Almost surely, 2^225473040 is an apocalyptic number.

225473040 is a gapful number since it is divisible by the number (20) 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 225473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438069060).

225473040 is an abundant number, since it is smaller than the sum of its proper divisors (650665080).

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

225473040 is a wasteful number, since it uses less digits than its factorization.

225473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 225473040 is about 15015.7597210398. The cubic root of 225473040 is about 608.6461419121.

The spelling of 225473040 in words is "two hundred twenty-five million, four hundred seventy-three thousand, forty".