224264 has 24 divisors (see below), whose sum is σ = 451290. Its totient is φ = 104448.

The previous prime is 224261. The next prime is 224267. The reversal of 224264 is 462422.

224264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224261) and next prime (224267).

It can be written as a sum of positive squares in 3 ways, for example, as 220900 + 3364 = 470^2 + 58^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2264 + ... + 2360.

2²²⁴²⁶⁴ is an apocalyptic number.

It is an amenable number.

224264 is an abundant number, since it is smaller than the sum of its proper divisors (227026).

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

224264 is a wasteful number, since it uses less digits than its factorization.

224264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 224264 is about 473.5652014243. The cubic root of 224264 is about 60.7556289839.

Adding to 224264 its reverse (462422), we get a palindrome (686686).

The spelling of 224264 in words is "two hundred twenty-four thousand, two hundred sixty-four".