Search a number
-
+
2222120221 is a prime number
BaseRepresentation
bin1000010001110010…
…1101110100011101
312201212022101212221
42010130231310131
514022330321341
61004255425341
7106031465416
oct20434556435
95655271787
102222120221
11a403688a2
12520225251
132954a7b49
1417119880d
15d013aed1
hex8472dd1d

2222120221 has 2 divisors, whose sum is σ = 2222120222. Its totient is φ = 2222120220.

The previous prime is 2222120209. The next prime is 2222120233. The reversal of 2222120221 is 1220212222.

2222120221 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 (2222120209) and next prime (2222120233).

It can be written as a sum of positive squares in only one way, i.e., 2026260196 + 195860025 = 45014^2 + 13995^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222120221 - 25 = 2222120189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2222120195 and 2222120204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222120521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111060110 + 1111060111.

It is an arithmetic number, because the mean of its divisors is an integer number (1111060111).

Almost surely, 22222120221 is an apocalyptic number.

It is an amenable number.

2222120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222120221 is an equidigital number, since it uses as much as digits as its factorization.

2222120221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2222120221 is about 47139.3701803492. The cubic root of 2222120221 is about 1304.9359140199.

Adding to 2222120221 its reverse (1220212222), we get a palindrome (3442332443).

The spelling of 2222120221 in words is "two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".