Search a number
-
+
210002222257 is a prime number
BaseRepresentation
bin1100001110010100011…
…0111001110010110001
3202002001102020012222121
43003211012321302301
511420041032103012
6240250152234241
721113023302562
oct3034506716261
9662042205877
10210002222257
1181074863893
123484939b981
1316a59606c99
14a242662169
1556e1620a07
hex30e51b9cb1

210002222257 has 2 divisors, whose sum is σ = 210002222258. Its totient is φ = 210002222256.

The previous prime is 210002222207. The next prime is 210002222291. The reversal of 210002222257 is 752222200012.

210002222257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146902791841 + 63099430416 = 383279^2 + 251196^2 .

It is a cyclic number.

It is not a de Polignac number, because 210002222257 - 223 = 209993833649 is a prime.

It is not a weakly prime, because it can be changed into another prime (210002222207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105001111128 + 105001111129.

It is an arithmetic number, because the mean of its divisors is an integer number (105001111129).

Almost surely, 2210002222257 is an apocalyptic number.

It is an amenable number.

210002222257 is a deficient number, since it is larger than the sum of its proper divisors (1).

210002222257 is an equidigital number, since it uses as much as digits as its factorization.

210002222257 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 25.

Adding to 210002222257 its reverse (752222200012), we get a palindrome (962224422269).

The spelling of 210002222257 in words is "two hundred ten billion, two million, two hundred twenty-two thousand, two hundred fifty-seven".