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212944217 is a prime number
BaseRepresentation
bin11001011000101…
…00010101011001
3112211200200112212
430230110111121
5414003203332
633044044505
75163665423
oct1454242531
9484620485
10212944217
11aa224162
125b393735
1335169cc5
14203d1813
1513a648b2
hexcb14559

212944217 has 2 divisors, whose sum is σ = 212944218. Its totient is φ = 212944216.

The previous prime is 212944211. The next prime is 212944223. The reversal of 212944217 is 712449212.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (212944211) and next prime (212944223).

It can be written as a sum of positive squares in only one way, i.e., 155351296 + 57592921 = 12464^2 + 7589^2 .

It is a cyclic number.

It is not a de Polignac number, because 212944217 - 28 = 212943961 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212944211) 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, 106472108 + 106472109.

It is an arithmetic number, because the mean of its divisors is an integer number (106472109).

Almost surely, 2212944217 is an apocalyptic number.

It is an amenable number.

212944217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212944217 is an equidigital number, since it uses as much as digits as its factorization.

212944217 is an odious number, because the sum of its binary digits is odd.

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

The square root of 212944217 is about 14592.6083000949. The cubic root of 212944217 is about 597.1571226510.

The spelling of 212944217 in words is "two hundred twelve million, nine hundred forty-four thousand, two hundred seventeen".