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2221414033 is a prime number
BaseRepresentation
bin1000010001101000…
…0001011010010001
312201210222112011211
42010122001122101
514022140222113
61004232340121
7106022464516
oct20432013221
95653875154
102221414033
11a3aa26273
1251bb44641
132952bb597
1417105330d
15d004bb3d
hex84681691

2221414033 has 2 divisors, whose sum is σ = 2221414034. Its totient is φ = 2221414032.

The previous prime is 2221413959. The next prime is 2221414043. The reversal of 2221414033 is 3304141222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2131391889 + 90022144 = 46167^2 + 9488^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221414033 - 217 = 2221282961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221413995 and 2221414013.

It is not a weakly prime, because it can be changed into another prime (2221414043) 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, 1110707016 + 1110707017.

It is an arithmetic number, because the mean of its divisors is an integer number (1110707017).

Almost surely, 22221414033 is an apocalyptic number.

It is an amenable number.

2221414033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221414033 is an equidigital number, since it uses as much as digits as its factorization.

2221414033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2221414033 is about 47131.8791583786. The cubic root of 2221414033 is about 1304.7976635160.

Adding to 2221414033 its reverse (3304141222), we get a palindrome (5525555255).

The spelling of 2221414033 in words is "two billion, two hundred twenty-one million, four hundred fourteen thousand, thirty-three".