224312 has 16 divisors (see below), whose sum is σ = 459000. Its totient is φ = 101920.

The previous prime is 224309. The next prime is 224317. The reversal of 224312 is 213422.

224312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1187 + ... + 1362.

2²²⁴³¹² is an apocalyptic number.

224312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224312 is an abundant number, since it is smaller than the sum of its proper divisors (234688).

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

224312 is a wasteful number, since it uses less digits than its factorization.

224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

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

The square root of 224312 is about 473.6158781122. The cubic root of 224312 is about 60.7599632538.

Adding to 224312 its reverse (213422), we get a palindrome (437734).

It can be divided in two parts, 22 and 4312, that multiplied together give a square (94864 = 308²).

The spelling of 224312 in words is "two hundred twenty-four thousand, three hundred twelve", and thus it is an iban number.