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2205077821 is a prime number
BaseRepresentation
bin1000001101101110…
…1101000100111101
312200200020120002221
42003123231010331
514003444442241
61002450245341
7105433565212
oct20333550475
95620216087
102205077821
11a31788671
12516586851
13291abb99b
1416cbddb09
15cd8c15d1
hex836ed13d

2205077821 has 2 divisors, whose sum is σ = 2205077822. Its totient is φ = 2205077820.

The previous prime is 2205077767. The next prime is 2205077839. The reversal of 2205077821 is 1287705022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1103169796 + 1101908025 = 33214^2 + 33195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205077821 - 227 = 2070860093 is a prime.

It is a super-2 number, since 2×22050778212 = 9724736393332216082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205077881) 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, 1102538910 + 1102538911.

It is an arithmetic number, because the mean of its divisors is an integer number (1102538911).

Almost surely, 22205077821 is an apocalyptic number.

It is an amenable number.

2205077821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205077821 is an equidigital number, since it uses as much as digits as its factorization.

2205077821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 2205077821 is about 46958.2561537372. The cubic root of 2205077821 is about 1301.5913098873.

The spelling of 2205077821 in words is "two billion, two hundred five million, seventy-seven thousand, eight hundred twenty-one".