225472000 has 160 divisors (see below), whose sum is σ = 607711104. Its totient is φ = 82944000.

The previous prime is 225471991. The next prime is 225472001. The reversal of 225472000 is 274522.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225472001) 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 15 ways as a sum of consecutive naturals, for example, 831865 + ... + 832135.

Almost surely, 2^225472000 is an apocalyptic number.

225472000 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 225472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303855552).

225472000 is an abundant number, since it is smaller than the sum of its proper divisors (382239104).

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

225472000 is an equidigital number, since it uses as much as digits as its factorization.

225472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 225472000 is about 15015.7250907174. The cubic root of 225472000 is about 608.6452061122.

The spelling of 225472000 in words is "two hundred twenty-five million, four hundred seventy-two thousand".