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2221022729 is a prime number
BaseRepresentation
bin1000010001100010…
…0001111000001001
312201210020122102002
42010120201320021
514022040211404
61004220120345
7106016244632
oct20430417011
95653218362
102221022729
11a3a789282
1251b9960b5
132951b2443
14170d90889
15ceec0c1e
hex84621e09

2221022729 has 2 divisors, whose sum is σ = 2221022730. Its totient is φ = 2221022728.

The previous prime is 2221022701. The next prime is 2221022773. The reversal of 2221022729 is 9272201222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2111862025 + 109160704 = 45955^2 + 10448^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221022729 - 28 = 2221022473 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221022779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110511364 + 1110511365.

It is an arithmetic number, because the mean of its divisors is an integer number (1110511365).

Almost surely, 22221022729 is an apocalyptic number.

It is an amenable number.

2221022729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221022729 is an equidigital number, since it uses as much as digits as its factorization.

2221022729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 2221022729 is about 47127.7278149499. The cubic root of 2221022729 is about 1304.7210452720.

The spelling of 2221022729 in words is "two billion, two hundred twenty-one million, twenty-two thousand, seven hundred twenty-nine".