225424000 has 128 divisors (see below), whose sum is σ = 571081680. Its totient is φ = 88473600.

The previous prime is 225423997. The next prime is 225424009. The reversal of 225424000 is 424522.

225424000 is digitally balanced in base 2, 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 8 ways, for example, as 1382976 + 224041024 = 1176^2 + 14968^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (225424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167904 + ... + 1168096.

Almost surely, 2^225424000 is an apocalyptic number.

225424000 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 225424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285540840).

225424000 is an abundant number, since it is smaller than the sum of its proper divisors (345657680).

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

225424000 is an equidigital number, since it uses as much as digits as its factorization.

225424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 225424000 is about 15014.1266812292. The cubic root of 225424000 is about 608.6020122148.

Adding to 225424000 its reverse (424522), we get a palindrome (225848522).

The spelling of 225424000 in words is "two hundred twenty-five million, four hundred twenty-four thousand".