Search a number
-
+
268220129 is a prime number
BaseRepresentation
bin11111111110010…
…11011011100001
3200200200222211212
433333023123201
51022131021004
642340515505
76434555612
oct1777133341
9620628755
10268220129
11128448831
12759abb95
1343751948
142789dc09
151883296e
hexffcb6e1

268220129 has 2 divisors, whose sum is σ = 268220130. Its totient is φ = 268220128.

The previous prime is 268220123. The next prime is 268220149. The reversal of 268220129 is 921022862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208513600 + 59706529 = 14440^2 + 7727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268220129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 268220095 and 268220104.

It is not a weakly prime, because it can be changed into another prime (268220123) 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, 134110064 + 134110065.

It is an arithmetic number, because the mean of its divisors is an integer number (134110065).

Almost surely, 2268220129 is an apocalyptic number.

It is an amenable number.

268220129 is a deficient number, since it is larger than the sum of its proper divisors (1).

268220129 is an equidigital number, since it uses as much as digits as its factorization.

268220129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 268220129 is about 16377.4274231333. The cubic root of 268220129 is about 644.9070466773.

The spelling of 268220129 in words is "two hundred sixty-eight million, two hundred twenty thousand, one hundred twenty-nine".