Search a number
-
+
214112329 is a prime number
BaseRepresentation
bin11001100001100…
…01100001001001
3112220220000220021
430300301201021
5414303043304
633125100441
75206632124
oct1460614111
9486800807
10214112329
11aa951842
125b857721
13354888b2
14206173bb
1513be5a54
hexcc31849

214112329 has 2 divisors, whose sum is σ = 214112330. Its totient is φ = 214112328.

The previous prime is 214112309. The next prime is 214112333. The reversal of 214112329 is 923211412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213014025 + 1098304 = 14595^2 + 1048^2 .

It is a cyclic number.

It is not a de Polignac number, because 214112329 - 27 = 214112201 is a prime.

It is not a weakly prime, because it can be changed into another prime (214112309) 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, 107056164 + 107056165.

It is an arithmetic number, because the mean of its divisors is an integer number (107056165).

Almost surely, 2214112329 is an apocalyptic number.

It is an amenable number.

214112329 is a deficient number, since it is larger than the sum of its proper divisors (1).

214112329 is an equidigital number, since it uses as much as digits as its factorization.

214112329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 214112329 is about 14632.5776608224. The cubic root of 214112329 is about 598.2470400213.

The spelling of 214112329 in words is "two hundred fourteen million, one hundred twelve thousand, three hundred twenty-nine".