214224 has 20 divisors (see below), whose sum is σ = 553536. Its totient is φ = 71392.

The previous prime is 214219. The next prime is 214237. The reversal of 214224 is 422412.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214224.

It is an unprimeable number.

214224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2184 + ... + 2279.

2²¹⁴²²⁴ is an apocalyptic number.

214224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214224 is an abundant number, since it is smaller than the sum of its proper divisors (339312).

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

214224 is a wasteful number, since it uses less digits than its factorization.

214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4468 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 214224 is about 462.8433860389. The cubic root of 214224 is about 59.8351027859.

Adding to 214224 its reverse (422412), we get a palindrome (636636).

The spelling of 214224 in words is "two hundred fourteen thousand, two hundred twenty-four", and thus it is an iban number.