Search a number
-
+
2226026002229 is a prime number
BaseRepresentation
bin100000011001001001011…
…111010011011100110101
321212210202120122102201222
4200121021133103130311
5242432400124032404
64422342222400125
7316552666552421
oct40311137233465
97783676572658
102226026002229
11789063711737
122bb503730045
13131bb482c363
1479a512b3b81
153cd8623edbe
hex206497d3735

2226026002229 has 2 divisors, whose sum is σ = 2226026002230. Its totient is φ = 2226026002228.

The previous prime is 2226026002199. The next prime is 2226026002231. The reversal of 2226026002229 is 9222006206222.

2226026002229 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., 1371704755204 + 854321247025 = 1171198^2 + 924295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226026002229 - 232 = 2221731034933 is a prime.

Together with 2226026002231, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2226026002259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113013001114 + 1113013001115.

It is an arithmetic number, because the mean of its divisors is an integer number (1113013001115).

Almost surely, 22226026002229 is an apocalyptic number.

It is an amenable number.

2226026002229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226026002229 is an equidigital number, since it uses as much as digits as its factorization.

2226026002229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 2226026002229 in words is "two trillion, two hundred twenty-six billion, twenty-six million, two thousand, two hundred twenty-nine".