Search a number
-
+
2142022369 is a prime number
BaseRepresentation
bin111111110101100…
…1010101011100001
312112021121000021211
41333223022223201
513341324203434
6552314550121
7104036614114
oct17753125341
95467530254
102142022369
119aa130123
124b9438341
13281a12076
141646a857b
15c80b8464
hex7facaae1

2142022369 has 2 divisors, whose sum is σ = 2142022370. Its totient is φ = 2142022368.

The previous prime is 2142022349. The next prime is 2142022373. The reversal of 2142022369 is 9632202412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1215428769 + 926593600 = 34863^2 + 30440^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142022369 - 213 = 2142014177 is a prime.

It is a super-2 number, since 2×21420223692 = 9176519658592744322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2142022369.

It is not a weakly prime, because it can be changed into another prime (2142022349) 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, 1071011184 + 1071011185.

It is an arithmetic number, because the mean of its divisors is an integer number (1071011185).

Almost surely, 22142022369 is an apocalyptic number.

It is an amenable number.

2142022369 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142022369 is an equidigital number, since it uses as much as digits as its factorization.

2142022369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2142022369 is about 46281.9875221452. The cubic root of 2142022369 is about 1289.0645560873.

The spelling of 2142022369 in words is "two billion, one hundred forty-two million, twenty-two thousand, three hundred sixty-nine".