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217402414223 is a prime number
BaseRepresentation
bin1100101001111000110…
…0011001010010001111
3202210011010222220221112
43022132030121102033
512030220004223343
6243512344122235
721464302013351
oct3123614312217
9683133886845
10217402414223
1184221aa4615
123617376637b
13176687ba9b7
14a7453d30d1
1559c613a218
hex329e31948f

217402414223 has 2 divisors, whose sum is σ = 217402414224. Its totient is φ = 217402414222.

The previous prime is 217402414169. The next prime is 217402414261. The reversal of 217402414223 is 322414204712.

217402414223 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 is a cyclic number.

It is not a de Polignac number, because 217402414223 - 216 = 217402348687 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 217402414223.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217402444223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108701207111 + 108701207112.

It is an arithmetic number, because the mean of its divisors is an integer number (108701207112).

Almost surely, 2217402414223 is an apocalyptic number.

217402414223 is a deficient number, since it is larger than the sum of its proper divisors (1).

217402414223 is an equidigital number, since it uses as much as digits as its factorization.

217402414223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 217402414223 its reverse (322414204712), we get a palindrome (539816618935).

The spelling of 217402414223 in words is "two hundred seventeen billion, four hundred two million, four hundred fourteen thousand, two hundred twenty-three".