Search a number
-
+
229582364017 is a prime number
BaseRepresentation
bin1101010111010000101…
…1001101110101110001
3210221120222201111000011
43111310023031311301
512230141041122032
6253245122454521
722405156616146
oct3256413156561
9727528644004
10229582364017
1189402294126
12385b2804441
131885a009596
14b17cc943cd
155e8a5a4247
hex35742cdd71

229582364017 has 2 divisors, whose sum is σ = 229582364018. Its totient is φ = 229582364016.

The previous prime is 229582363993. The next prime is 229582364021. The reversal of 229582364017 is 710463285922.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219038976256 + 10543387761 = 468016^2 + 102681^2 .

It is a cyclic number.

It is not a de Polignac number, because 229582364017 - 227 = 229448146289 is a prime.

It is not a weakly prime, because it can be changed into another prime (229582364087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114791182008 + 114791182009.

It is an arithmetic number, because the mean of its divisors is an integer number (114791182009).

It is a 2-persistent number, because it is pandigital, and so is 2⋅229582364017 = 459164728034, but 3⋅229582364017 = 688747092051 is not.

Almost surely, 2229582364017 is an apocalyptic number.

It is an amenable number.

229582364017 is a deficient number, since it is larger than the sum of its proper divisors (1).

229582364017 is an equidigital number, since it uses as much as digits as its factorization.

229582364017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 229582364017 in words is "two hundred twenty-nine billion, five hundred eighty-two million, three hundred sixty-four thousand, seventeen".