Search a number
-
+
2220332329 is a prime number
BaseRepresentation
bin1000010001010111…
…1001010100101001
312201201221120100201
42010111321110221
514021401113304
61004153232201
7106010341045
oct20425712451
95651846321
102220332329
11a3a3575a6
1251b702661
13295000117
14170c51025
15cedd63a4
hex84579529

2220332329 has 2 divisors, whose sum is σ = 2220332330. Its totient is φ = 2220332328.

The previous prime is 2220332299. The next prime is 2220332341. The reversal of 2220332329 is 9232330222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1949664025 + 270668304 = 44155^2 + 16452^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220332329 - 213 = 2220324137 is a prime.

It is a super-3 number, since 3×22203323293 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220332297 and 2220332306.

It is not a weakly prime, because it can be changed into another prime (2220332399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110166164 + 1110166165.

It is an arithmetic number, because the mean of its divisors is an integer number (1110166165).

Almost surely, 22220332329 is an apocalyptic number.

It is an amenable number.

2220332329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220332329 is an equidigital number, since it uses as much as digits as its factorization.

2220332329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 2220332329 is about 47120.4024706920. The cubic root of 2220332329 is about 1304.5858413786.

The spelling of 2220332329 in words is "two billion, two hundred twenty million, three hundred thirty-two thousand, three hundred twenty-nine".