Search a number
-
+
2220332221 is a prime number
BaseRepresentation
bin1000010001010111…
…1001010010111101
312201201221120012201
42010111321102331
514021401112341
61004153231501
7106010340532
oct20425712275
95651846181
102220332221
11a3a357508
1251b702591
13295000063
14170c50d89
15cedd6331
hex845794bd

2220332221 has 2 divisors, whose sum is σ = 2220332222. Its totient is φ = 2220332220.

The previous prime is 2220332203. The next prime is 2220332239. The reversal of 2220332221 is 1222330222.

2220332221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2220332203) and next prime (2220332239).

It can be written as a sum of positive squares in only one way, i.e., 2151939321 + 68392900 = 46389^2 + 8270^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220332221 - 29 = 2220331709 is a prime.

It is a super-2 number, since 2×22203322212 = 9859750343221585682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220332921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110166110 + 1110166111.

It is an arithmetic number, because the mean of its divisors is an integer number (1110166111).

Almost surely, 22220332221 is an apocalyptic number.

It is an amenable number.

2220332221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220332221 is an equidigital number, since it uses as much as digits as its factorization.

2220332221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2220332221 is about 47120.4013246916. The cubic root of 2220332221 is about 1304.5858202263.

Adding to 2220332221 its reverse (1222330222), we get a palindrome (3442662443).

The spelling of 2220332221 in words is "two billion, two hundred twenty million, three hundred thirty-two thousand, two hundred twenty-one".