224259 has 16 divisors (see below), whose sum is σ = 349440. Its totient is φ = 125280.

The previous prime is 224251. The next prime is 224261. The reversal of 224259 is 952422.

224259 = 120² + 121² + ... + 133².

It is not a de Polignac number, because 224259 - 2³ = 224251 is a prime.

224259 is a modest number, since divided by 259 gives 224 as remainder.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224259.

It is not an unprimeable number, because it can be changed into a prime (224251) 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, 1149 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2²²⁴²⁵⁹ is an apocalyptic number.

224259 is a deficient number, since it is larger than the sum of its proper divisors (125181).

224259 is a wasteful number, since it uses less digits than its factorization.

224259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250.

The product of its digits is 1440, while the sum is 24.

The square root of 224259 is about 473.5599222907. The cubic root of 224259 is about 60.7551774618.

The spelling of 224259 in words is "two hundred twenty-four thousand, two hundred fifty-nine".