Search a number
-
+
214042253 is a prime number
BaseRepresentation
bin11001100001000…
…00011010001101
3112220202110202212
430300200122031
5414243323003
633123400205
75206220615
oct1460403215
9486673685
10214042253
11aa904127
125b823065
1335462a29
14205d9a45
1513bcedd8
hexcc2068d

214042253 has 2 divisors, whose sum is σ = 214042254. Its totient is φ = 214042252.

The previous prime is 214042247. The next prime is 214042267. The reversal of 214042253 is 352240412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209728324 + 4313929 = 14482^2 + 2077^2 .

It is a cyclic number.

It is not a de Polignac number, because 214042253 - 212 = 214038157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214042553) 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, 107021126 + 107021127.

It is an arithmetic number, because the mean of its divisors is an integer number (107021127).

Almost surely, 2214042253 is an apocalyptic number.

It is an amenable number.

214042253 is a deficient number, since it is larger than the sum of its proper divisors (1).

214042253 is an equidigital number, since it uses as much as digits as its factorization.

214042253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 214042253 is about 14630.1829448575. The cubic root of 214042253 is about 598.1817669094.

Adding to 214042253 its reverse (352240412), we get a palindrome (566282665).

The spelling of 214042253 in words is "two hundred fourteen million, forty-two thousand, two hundred fifty-three".