Search a number
-
+
228827231441 is a prime number
BaseRepresentation
bin1101010100011100101…
…0100111010011010001
3210212122100210202211222
43111013022213103101
512222114232401231
6253042145414425
722350360242354
oct3250712472321
9725570722758
10228827231441
1189055008916
123842193a415
1318769735883
14b10a88829b
155e4414127b
hex35472a74d1

228827231441 has 2 divisors, whose sum is σ = 228827231442. Its totient is φ = 228827231440.

The previous prime is 228827231363. The next prime is 228827231461. The reversal of 228827231441 is 144132728822.

It is a happy number.

228827231441 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., 168112300225 + 60714931216 = 410015^2 + 246404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-228827231441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 228827231392 and 228827231401.

It is not a weakly prime, because it can be changed into another prime (228827231461) 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, 114413615720 + 114413615721.

It is an arithmetic number, because the mean of its divisors is an integer number (114413615721).

Almost surely, 2228827231441 is an apocalyptic number.

It is an amenable number.

228827231441 is a deficient number, since it is larger than the sum of its proper divisors (1).

228827231441 is an equidigital number, since it uses as much as digits as its factorization.

228827231441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 344064, while the sum is 44.

The spelling of 228827231441 in words is "two hundred twenty-eight billion, eight hundred twenty-seven million, two hundred thirty-one thousand, four hundred forty-one".