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212882617 is a prime number
BaseRepresentation
bin11001011000001…
…01010010111001
3112211120120001101
430230011102321
5413444220432
633042451401
75163321013
oct1454052271
9484516041
10212882617
11aa191952
125b363b61
1335147c5c
14203b71b3
1513a514e7
hexcb054b9

212882617 has 2 divisors, whose sum is σ = 212882618. Its totient is φ = 212882616.

The previous prime is 212882603. The next prime is 212882623. The reversal of 212882617 is 716288212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190329616 + 22553001 = 13796^2 + 4749^2 .

It is a cyclic number.

It is not a de Polignac number, because 212882617 - 27 = 212882489 is a prime.

It is not a weakly prime, because it can be changed into another prime (212882647) 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, 106441308 + 106441309.

It is an arithmetic number, because the mean of its divisors is an integer number (106441309).

Almost surely, 2212882617 is an apocalyptic number.

It is an amenable number.

212882617 is a deficient number, since it is larger than the sum of its proper divisors (1).

212882617 is an equidigital number, since it uses as much as digits as its factorization.

212882617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21504, while the sum is 37.

The square root of 212882617 is about 14590.4974898048. The cubic root of 212882617 is about 597.0995356972.

The spelling of 212882617 in words is "two hundred twelve million, eight hundred eighty-two thousand, six hundred seventeen".