Search a number
-
+
214051289 is a prime number
BaseRepresentation
bin11001100001000…
…10100111011001
3112220202221011112
430300202213121
5414244120124
633123510105
75206256144
oct1460424731
9486687145
10214051289
11aa90a9a1
125b828335
1335466b8a
14205dd05b
1513bd290e
hexcc229d9

214051289 has 2 divisors, whose sum is σ = 214051290. Its totient is φ = 214051288.

The previous prime is 214051231. The next prime is 214051303. The reversal of 214051289 is 982150412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199035664 + 15015625 = 14108^2 + 3875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214051289 is a prime.

It is not a weakly prime, because it can be changed into another prime (214051889) 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, 107025644 + 107025645.

It is an arithmetic number, because the mean of its divisors is an integer number (107025645).

Almost surely, 2214051289 is an apocalyptic number.

It is an amenable number.

214051289 is a deficient number, since it is larger than the sum of its proper divisors (1).

214051289 is an equidigital number, since it uses as much as digits as its factorization.

214051289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 214051289 is about 14630.4917552350. The cubic root of 214051289 is about 598.1901843976.

The spelling of 214051289 in words is "two hundred fourteen million, fifty-one thousand, two hundred eighty-nine".