225344 has 28 divisors (see below), whose sum is σ = 512064. Its totient is φ = 96384.

The previous prime is 225343. The next prime is 225347. The reversal of 225344 is 443522.

It is a tau number, because it is divible by the number of its divisors (28).

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁵ + 3¹¹ + 5⁵ + 4² + 4⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225344.

It is not an unprimeable number, because it can be changed into a prime (225341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2²²⁵³⁴⁴ 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 225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032).

225344 is an abundant number, since it is smaller than the sum of its proper divisors (286720).

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

225344 is an equidigital number, since it uses as much as digits as its factorization.

225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its digits is 960, while the sum is 20.

The square root of 225344 is about 474.7041183727. The cubic root of 225344 is about 60.8530008758.

Adding to 225344 its reverse (443522), we get a palindrome (668866).

The spelling of 225344 in words is "two hundred twenty-five thousand, three hundred forty-four".