224213 has 12 divisors (see below), whose sum is σ = 263340. Its totient is φ = 190080.

The previous prime is 224209. The next prime is 224221. The reversal of 224213 is 312422.

It can be written as a sum of positive squares in 2 ways, for example, as 165649 + 58564 = 407^2 + 242^2 .

It is not a de Polignac number, because 224213 - 2² = 224209 is a prime.

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 (224233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2003 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (21945).

2²²⁴²¹³ is an apocalyptic number.

It is an amenable number.

224213 is a deficient number, since it is larger than the sum of its proper divisors (39127).

224213 is a wasteful number, since it uses less digits than its factorization.

224213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 224213 is about 473.5113515007. The cubic root of 224213 is about 60.7510231443.

Adding to 224213 its reverse (312422), we get a palindrome (536635).

Subtracting 224213 from its reverse (312422), we obtain a square (88209 = 297²).

The spelling of 224213 in words is "two hundred twenty-four thousand, two hundred thirteen".