Search a number
-
+
2200222022177 is a prime number
BaseRepresentation
bin100000000001000111011…
…100111011101000100001
321210100011020220102122002
4200001013130323220201
5242022023314202202
64402433521453345
7314650360420034
oct40010734735041
97710136812562
102200222022177
11779121a76593
122b6501aa1255
1312c63187b4ca
14786c424701b
153c375bab302
hex2004773ba21

2200222022177 has 2 divisors, whose sum is σ = 2200222022178. Its totient is φ = 2200222022176.

The previous prime is 2200222022143. The next prime is 2200222022261. The reversal of 2200222022177 is 7712202220022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1240603902976 + 959618119201 = 1113824^2 + 979601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200222022177 - 216 = 2200221956641 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200222022377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100111011088 + 1100111011089.

It is an arithmetic number, because the mean of its divisors is an integer number (1100111011089).

Almost surely, 22200222022177 is an apocalyptic number.

It is an amenable number.

2200222022177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200222022177 is an equidigital number, since it uses as much as digits as its factorization.

2200222022177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 29.

Adding to 2200222022177 its reverse (7712202220022), we get a palindrome (9912424242199).

The spelling of 2200222022177 in words is "two trillion, two hundred billion, two hundred twenty-two million, twenty-two thousand, one hundred seventy-seven".