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212424217 = 2923933061
BaseRepresentation
bin11001010100101…
…01011000011001
3112210201021020121
430222111120121
5413340033332
633024553241
75156401405
oct1452253031
9483637217
10212424217
11a99a9505
125b182821
1335017405
14202d8105
15139b0797
hexca95619

212424217 has 8 divisors (see below), whose sum is σ = 219912840. Its totient is φ = 204946560.

The previous prime is 212424203. The next prime is 212424227. The reversal of 212424217 is 712424212.

It can be written as a sum of positive squares in 4 ways, for example, as 27573001 + 184851216 = 5251^2 + 13596^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212424217 - 27 = 212424089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212424191 and 212424200.

It is not an unprimeable number, because it can be changed into a prime (212424227) 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 in 7 ways as a sum of consecutive naturals, for example, 67867 + ... + 70927.

It is an arithmetic number, because the mean of its divisors is an integer number (27489105).

Almost surely, 2212424217 is an apocalyptic number.

It is an amenable number.

212424217 is a deficient number, since it is larger than the sum of its proper divisors (7488623).

212424217 is a wasteful number, since it uses less digits than its factorization.

212424217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483.

The product of its digits is 1792, while the sum is 25.

The square root of 212424217 is about 14574.7801698688. The cubic root of 212424217 is about 596.6706496965.

Adding to 212424217 its reverse (712424212), we get a palindrome (924848429).

The spelling of 212424217 in words is "two hundred twelve million, four hundred twenty-four thousand, two hundred seventeen".

Divisors: 1 29 2393 3061 69397 88769 7324973 212424217