Search a number
-
+
229584607331 is a prime number
BaseRepresentation
bin1101010111010001001…
…1110001100001100011
3210221121010221110020212
43111310103301201203
512230142124413311
6253245242524335
722405214651342
oct3256423614143
9727533843225
10229584607331
1189403586602
12385b35066ab
131885a6136a1
14b17d2b9b59
155e8a898c8b
hex35744f1863

229584607331 has 2 divisors, whose sum is σ = 229584607332. Its totient is φ = 229584607330.

The previous prime is 229584607267. The next prime is 229584607337. The reversal of 229584607331 is 133706485922.

229584607331 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 is a cyclic number.

It is not a de Polignac number, because 229584607331 - 26 = 229584607267 is a prime.

It is a super-2 number, since 2×2295846073312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229584607331.

It is not a weakly prime, because it can be changed into another prime (229584607337) 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, 114792303665 + 114792303666.

It is an arithmetic number, because the mean of its divisors is an integer number (114792303666).

It is a 1-persistent number, because it is pandigital, but 2⋅229584607331 = 459169214662 is not.

Almost surely, 2229584607331 is an apocalyptic number.

229584607331 is a deficient number, since it is larger than the sum of its proper divisors (1).

229584607331 is an equidigital number, since it uses as much as digits as its factorization.

229584607331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 229584607331 in words is "two hundred twenty-nine billion, five hundred eighty-four million, six hundred seven thousand, three hundred thirty-one".