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230778257 is a prime number
BaseRepresentation
bin11011100000101…
…10010110010001
3121002020202020212
431300112112101
5433034401012
634522213505
75501403623
oct1560262621
9532222225
10230778257
111092a5136
1265354295
1338a725a8
1422914c13
15153d8b22
hexdc16591

230778257 has 2 divisors, whose sum is σ = 230778258. Its totient is φ = 230778256.

The previous prime is 230778241. The next prime is 230778269. The reversal of 230778257 is 752877032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226321936 + 4456321 = 15044^2 + 2111^2 .

It is a cyclic number.

It is not a de Polignac number, because 230778257 - 24 = 230778241 is a prime.

It is a super-3 number, since 3×2307782573 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (230778277) 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, 115389128 + 115389129.

It is an arithmetic number, because the mean of its divisors is an integer number (115389129).

Almost surely, 2230778257 is an apocalyptic number.

It is an amenable number.

230778257 is a deficient number, since it is larger than the sum of its proper divisors (1).

230778257 is an equidigital number, since it uses as much as digits as its factorization.

230778257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 164640, while the sum is 41.

The square root of 230778257 is about 15191.3875929752. The cubic root of 230778257 is about 613.3828508054.

The spelling of 230778257 in words is "two hundred thirty million, seven hundred seventy-eight thousand, two hundred fifty-seven".