Search a number
-
+
259203349 is a prime number
BaseRepresentation
bin11110111001100…
…10000100010101
3200001201220011001
433130302010111
51012324001344
641415343301
76265122616
oct1734620425
9601656131
10259203349
1112334a349
1272981b31
1341915782
14265d3c0d
1517b50ed4
hexf732115

259203349 has 2 divisors, whose sum is σ = 259203350. Its totient is φ = 259203348.

The previous prime is 259203257. The next prime is 259203359. The reversal of 259203349 is 943302952.

259203349 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., 212868100 + 46335249 = 14590^2 + 6807^2 .

It is a cyclic number.

It is not a de Polignac number, because 259203349 - 27 = 259203221 is a prime.

It is a super-2 number, since 2×2592033492 = 134372752265631602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (259203359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129601674 + 129601675.

It is an arithmetic number, because the mean of its divisors is an integer number (129601675).

Almost surely, 2259203349 is an apocalyptic number.

It is an amenable number.

259203349 is a deficient number, since it is larger than the sum of its proper divisors (1).

259203349 is an equidigital number, since it uses as much as digits as its factorization.

259203349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 259203349 is about 16099.7934458800. The cubic root of 259203349 is about 637.5978875190.

The spelling of 259203349 in words is "two hundred fifty-nine million, two hundred three thousand, three hundred forty-nine".