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229312961 is a prime number
BaseRepresentation
bin11011010101100…
…00100111000001
3120222111022020122
431222300213001
5432201003321
634430550025
75453061623
oct1552604701
9528438218
10229312961
11108494249
1264968315
133867b657
1422652c13
15151e98ab
hexdab09c1

229312961 has 2 divisors, whose sum is σ = 229312962. Its totient is φ = 229312960.

The previous prime is 229312933. The next prime is 229312973. The reversal of 229312961 is 169213922.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211411600 + 17901361 = 14540^2 + 4231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-229312961 is a prime.

It is not a weakly prime, because it can be changed into another prime (229312261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114656480 + 114656481.

It is an arithmetic number, because the mean of its divisors is an integer number (114656481).

Almost surely, 2229312961 is an apocalyptic number.

It is an amenable number.

229312961 is a deficient number, since it is larger than the sum of its proper divisors (1).

229312961 is an equidigital number, since it uses as much as digits as its factorization.

229312961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 35.

The square root of 229312961 is about 15143.0829423866. The cubic root of 229312961 is about 612.0818957502.

The spelling of 229312961 in words is "two hundred twenty-nine million, three hundred twelve thousand, nine hundred sixty-one".