212224 has 18 divisors (see below), whose sum is σ = 424130. Its totient is φ = 105984.

The previous prime is 212209. The next prime is 212227. The reversal of 212224 is 422212.

Adding to 212224 its reverse (422212), we get a palindrome (634436).

It can be written as a sum of positive squares in only one way, i.e., 186624 + 25600 = 432^2 + 160^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212227) by changing a digit.

212224 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 as a sum of consecutive naturals, namely, 159 + ... + 670.

2^{212224} is an apocalyptic number.

It is an amenable number.

212224 is a deficient number, since it is larger than the sum of its proper divisors (211906).

212224 is an frugal number, since it uses more digits than its factorization.

212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 831 counting only the distinct ones).

The product of its digits is 64, while the sum is 13.

The square root of 212224 is about 460.6777615644. The cubic root of 212224 is about 59.6483130022.

The spelling of 212224 in words is "two hundred twelve thousand, two hundred twenty-four", and thus it is an iban number.

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