Search a number
-
+
222106681 is a prime number
BaseRepresentation
bin11010011110100…
…01010000111001
3120110221012002101
431033101100321
5423324403211
634012303401
75334606226
oct1517212071
9513835071
10222106681
11104412045
1262471b61
1337027594
14216d894d
15147745c1
hexd3d1439

222106681 has 2 divisors, whose sum is σ = 222106682. Its totient is φ = 222106680.

The previous prime is 222106669. The next prime is 222106691. The reversal of 222106681 is 186601222.

222106681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216560656 + 5546025 = 14716^2 + 2355^2 .

It is a cyclic number.

It is not a de Polignac number, because 222106681 - 211 = 222104633 is a prime.

It is a super-2 number, since 2×2221066812 = 98662755489671522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222106691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111053340 + 111053341.

It is an arithmetic number, because the mean of its divisors is an integer number (111053341).

Almost surely, 2222106681 is an apocalyptic number.

It is an amenable number.

222106681 is a deficient number, since it is larger than the sum of its proper divisors (1).

222106681 is an equidigital number, since it uses as much as digits as its factorization.

222106681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 222106681 is about 14903.2439757256. The cubic root of 222106681 is about 605.6018699114.

The spelling of 222106681 in words is "two hundred twenty-two million, one hundred six thousand, six hundred eighty-one".