Search a number
-
+
228928968944129 is a prime number
BaseRepresentation
bin110100000011010110101101…
…110111110110101000000001
31010000120101200110102212221102
4310003112231313312220001
5220001233012022203004
62130520303320104145
766135400156160366
oct6403265567665001
91100511613385842
10228928968944129
1166a42259891953
1221813b74605055
139a97ba84c630c
14407631503c46d
151b6ee7b72811e
hexd035addf6a01

228928968944129 has 2 divisors, whose sum is σ = 228928968944130. Its totient is φ = 228928968944128.

The previous prime is 228928968944101. The next prime is 228928968944131. The reversal of 228928968944129 is 921449869829822.

228928968944129 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., 196151649322225 + 32777319621904 = 14005415^2 + 5725148^2 .

It is a cyclic number.

It is not a de Polignac number, because 228928968944129 - 216 = 228928968878593 is a prime.

It is a Sophie Germain prime.

Together with 228928968944131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (228928968944189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114464484472064 + 114464484472065.

It is an arithmetic number, because the mean of its divisors is an integer number (114464484472065).

Almost surely, 2228928968944129 is an apocalyptic number.

It is an amenable number.

228928968944129 is a deficient number, since it is larger than the sum of its proper divisors (1).

228928968944129 is an equidigital number, since it uses as much as digits as its factorization.

228928968944129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5159780352, while the sum is 83.

The spelling of 228928968944129 in words is "two hundred twenty-eight trillion, nine hundred twenty-eight billion, nine hundred sixty-eight million, nine hundred forty-four thousand, one hundred twenty-nine".