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212829689 is a prime number
BaseRepresentation
bin11001010111110…
…00010111111001
3112211110212110002
430223320113321
5413441022224
633041402345
75163010502
oct1453702771
9484425402
10212829689
11aa156106
125b3393b5
1335129b37
14203a1ba9
1513a409ae
hexcaf85f9

212829689 has 2 divisors, whose sum is σ = 212829690. Its totient is φ = 212829688.

The previous prime is 212829641. The next prime is 212829707. The reversal of 212829689 is 986928212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196224064 + 16605625 = 14008^2 + 4075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212829689 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212829619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106414844 + 106414845.

It is an arithmetic number, because the mean of its divisors is an integer number (106414845).

Almost surely, 2212829689 is an apocalyptic number.

It is an amenable number.

212829689 is a deficient number, since it is larger than the sum of its proper divisors (1).

212829689 is an equidigital number, since it uses as much as digits as its factorization.

212829689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 47.

The square root of 212829689 is about 14588.6835937997. The cubic root of 212829689 is about 597.0500469161.

The spelling of 212829689 in words is "two hundred twelve million, eight hundred twenty-nine thousand, six hundred eighty-nine".