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212277257 is a prime number
BaseRepresentation
bin11001010011100…
…01100000001001
3112210102210122122
430221301200021
5413320333012
633021501025
75155220063
oct1451614011
9483383578
10212277257
11a9909055
125b111775
1334c9555a
142029a733
1513981e72
hexca71809

212277257 has 2 divisors, whose sum is σ = 212277258. Its totient is φ = 212277256.

The previous prime is 212277229. The next prime is 212277259. The reversal of 212277257 is 752772212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134467216 + 77810041 = 11596^2 + 8821^2 .

It is a cyclic number.

It is not a de Polignac number, because 212277257 - 226 = 145168393 is a prime.

Together with 212277259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212277259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106138628 + 106138629.

It is an arithmetic number, because the mean of its divisors is an integer number (106138629).

Almost surely, 2212277257 is an apocalyptic number.

It is an amenable number.

212277257 is a deficient number, since it is larger than the sum of its proper divisors (1).

212277257 is an equidigital number, since it uses as much as digits as its factorization.

212277257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27440, while the sum is 35.

The square root of 212277257 is about 14569.7377121210. The cubic root of 212277257 is about 596.5330210888.

The spelling of 212277257 in words is "two hundred twelve million, two hundred seventy-seven thousand, two hundred fifty-seven".