Search a number
-
+
2223312209 is a prime number
BaseRepresentation
bin1000010010000101…
…0000110101010001
312201221112221222122
42010201100311101
514023131442314
61004341144025
7106044561536
oct20441206521
95657487878
102223312209
11a41002408
125206bb015
13295804571
141713c8d8d
15d02c428e
hex84850d51

2223312209 has 2 divisors, whose sum is σ = 2223312210. Its totient is φ = 2223312208.

The previous prime is 2223312137. The next prime is 2223312239. The reversal of 2223312209 is 9022133222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1767361600 + 455950609 = 42040^2 + 21353^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223312209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2223312239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111656104 + 1111656105.

It is an arithmetic number, because the mean of its divisors is an integer number (1111656105).

Almost surely, 22223312209 is an apocalyptic number.

It is an amenable number.

2223312209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223312209 is an equidigital number, since it uses as much as digits as its factorization.

2223312209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2223312209 is about 47152.0117174230. The cubic root of 2223312209 is about 1305.1692032138.

It can be divided in two parts, 2223 and 312209, that added together give a cube (314432 = 683).

The spelling of 2223312209 in words is "two billion, two hundred twenty-three million, three hundred twelve thousand, two hundred nine".