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211224017 is a prime number
BaseRepresentation
bin11001001011100…
…00010111010001
3112201110021212202
430211300113101
5413033132032
632543132545
75143242314
oct1445602721
9481407782
10211224017
11a9259804
125a8a4155
13349b7034
14200a497b
1513824d62
hexc9705d1

211224017 has 2 divisors, whose sum is σ = 211224018. Its totient is φ = 211224016.

The previous prime is 211224001. The next prime is 211224037. The reversal of 211224017 is 710422112.

It is an a-pointer prime, because the next prime (211224037) can be obtained adding 211224017 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169026001 + 42198016 = 13001^2 + 6496^2 .

It is a cyclic number.

It is not a de Polignac number, because 211224017 - 24 = 211224001 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211224017.

It is not a weakly prime, because it can be changed into another prime (211224037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105612008 + 105612009.

It is an arithmetic number, because the mean of its divisors is an integer number (105612009).

Almost surely, 2211224017 is an apocalyptic number.

It is an amenable number.

211224017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211224017 is an equidigital number, since it uses as much as digits as its factorization.

211224017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 211224017 is about 14533.5479838889. The cubic root of 211224017 is about 595.5447939642.

Adding to 211224017 its reverse (710422112), we get a palindrome (921646129).

The spelling of 211224017 in words is "two hundred eleven million, two hundred twenty-four thousand, seventeen".