Search a number
-
+
212046617 is a prime number
BaseRepresentation
bin11001010001110…
…01001100011001
3112210000002021102
430220321030121
5413240442432
633012521145
75153236466
oct1450711431
9483002242
10212046617
11a9770842
125b0201b5
1334c14593
142023a66d
1513938962
hexca39319

212046617 has 2 divisors, whose sum is σ = 212046618. Its totient is φ = 212046616.

The previous prime is 212046613. The next prime is 212046641. The reversal of 212046617 is 716640212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205176976 + 6869641 = 14324^2 + 2621^2 .

It is a cyclic number.

It is not a de Polignac number, because 212046617 - 22 = 212046613 is a prime.

It is a super-2 number, since 2×2120466172 = 89927535562289378, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212046617.

It is not a weakly prime, because it can be changed into another prime (212046613) 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, 106023308 + 106023309.

It is an arithmetic number, because the mean of its divisors is an integer number (106023309).

Almost surely, 2212046617 is an apocalyptic number.

It is an amenable number.

212046617 is a deficient number, since it is larger than the sum of its proper divisors (1).

212046617 is an equidigital number, since it uses as much as digits as its factorization.

212046617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 212046617 is about 14561.8205249206. The cubic root of 212046617 is about 596.3168977090.

Adding to 212046617 its reverse (716640212), we get a palindrome (928686829).

The spelling of 212046617 in words is "two hundred twelve million, forty-six thousand, six hundred seventeen".