224516 has 18 divisors (see below), whose sum is σ = 413658. Its totient is φ = 106560.

The previous prime is 224513. The next prime is 224527. The reversal of 224516 is 615422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 64516 + 160000 = 254^2 + 400^2 .

Its product of digits (480) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5456 + ... + 5496.

It is an arithmetic number, because the mean of its divisors is an integer number (22981).

2²²⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

224516 is a deficient number, since it is larger than the sum of its proper divisors (189142).

224516 is a wasteful number, since it uses less digits than its factorization.

224516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 224516 is about 473.8311935700. The cubic root of 224516 is about 60.7783770062.

Adding to 224516 its reverse (615422), we get a palindrome (839938).

The spelling of 224516 in words is "two hundred twenty-four thousand, five hundred sixteen".