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212816273 is a prime number
BaseRepresentation
bin11001010111101…
…01000110010001
3112211110012001012
430223311012101
5413440110043
633041220305
75162623415
oct1453650621
9484405035
10212816273
11aa14701a
125b331695
13351239b7
142039ad45
1513a3ba18
hexcaf5191

212816273 has 2 divisors, whose sum is σ = 212816274. Its totient is φ = 212816272.

The previous prime is 212816213. The next prime is 212816291. The reversal of 212816273 is 372618212.

212816273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187333969 + 25482304 = 13687^2 + 5048^2 .

It is a cyclic number.

It is not a de Polignac number, because 212816273 - 214 = 212799889 is a prime.

It is a super-2 number, since 2×2128162732 = 90581532107221058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212816203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106408136 + 106408137.

It is an arithmetic number, because the mean of its divisors is an integer number (106408137).

Almost surely, 2212816273 is an apocalyptic number.

It is an amenable number.

212816273 is a deficient number, since it is larger than the sum of its proper divisors (1).

212816273 is an equidigital number, since it uses as much as digits as its factorization.

212816273 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The square root of 212816273 is about 14588.2237781027. The cubic root of 212816273 is about 597.0375013736.

The spelling of 212816273 in words is "two hundred twelve million, eight hundred sixteen thousand, two hundred seventy-three".