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214352329 is a prime number
BaseRepresentation
bin11001100011011…
…00000111001001
3112221100020010011
430301230013021
5414333233304
633134151521
75211651622
oct1461540711
9487306104
10214352329
11aaaa6094
125b9525a1
1335540bc9
142067aa49
1513c41c04
hexcc6c1c9

214352329 has 2 divisors, whose sum is σ = 214352330. Its totient is φ = 214352328.

The previous prime is 214352297. The next prime is 214352339. The reversal of 214352329 is 923253412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177422400 + 36929929 = 13320^2 + 6077^2 .

It is a cyclic number.

It is not a de Polignac number, because 214352329 - 25 = 214352297 is a prime.

It is a super-4 number, since 4×2143523294 (a number of 34 digits) contains 4444 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 214352329.

It is not a weakly prime, because it can be changed into another prime (214352339) 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, 107176164 + 107176165.

It is an arithmetic number, because the mean of its divisors is an integer number (107176165).

Almost surely, 2214352329 is an apocalyptic number.

It is an amenable number.

214352329 is a deficient number, since it is larger than the sum of its proper divisors (1).

214352329 is an equidigital number, since it uses as much as digits as its factorization.

214352329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 31.

The square root of 214352329 is about 14640.7762430822. The cubic root of 214352329 is about 598.4704829796.

The spelling of 214352329 in words is "two hundred fourteen million, three hundred fifty-two thousand, three hundred twenty-nine".