224268 has 24 divisors (see below), whose sum is σ = 571200. Its totient is φ = 67920.

The previous prime is 224267. The next prime is 224291. The reversal of 224268 is 862422.

224268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224268² = 100592271648, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 12.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (23800).

2²²⁴²⁶⁸ is an apocalyptic number.

It is an amenable number.

224268 is an abundant number, since it is smaller than the sum of its proper divisors (346932).

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

224268 is a wasteful number, since it uses less digits than its factorization.

224268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1715 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 224268 is about 473.5694246887. The cubic root of 224268 is about 60.7559901966.

The spelling of 224268 in words is "two hundred twenty-four thousand, two hundred sixty-eight".