Search a number
-
+
214104257 is a prime number
BaseRepresentation
bin11001100001011…
…11100011000001
3112220212121211022
430300233203001
5414302314012
633124555225
75206566443
oct1460574301
9486777738
10214104257
11aa946774
125b852b15
1335485013
1420614493
1513be3472
hexcc2f8c1

214104257 has 2 divisors, whose sum is σ = 214104258. Its totient is φ = 214104256.

The previous prime is 214104229. The next prime is 214104283. The reversal of 214104257 is 752401412.

It is an a-pointer prime, because the next prime (214104283) can be obtained adding 214104257 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203889841 + 10214416 = 14279^2 + 3196^2 .

It is a cyclic number.

It is not a de Polignac number, because 214104257 - 220 = 213055681 is a prime.

It is not a weakly prime, because it can be changed into another prime (214104157) 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, 107052128 + 107052129.

It is an arithmetic number, because the mean of its divisors is an integer number (107052129).

Almost surely, 2214104257 is an apocalyptic number.

It is an amenable number.

214104257 is a deficient number, since it is larger than the sum of its proper divisors (1).

214104257 is an equidigital number, since it uses as much as digits as its factorization.

214104257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 214104257 is about 14632.3018353231. The cubic root of 214104257 is about 598.2395219881.

Adding to 214104257 its reverse (752401412), we get a palindrome (966505669).

The spelling of 214104257 in words is "two hundred fourteen million, one hundred four thousand, two hundred fifty-seven".