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2221142681 is a prime number
BaseRepresentation
bin1000010001100011…
…1111001010011001
312201210110201221202
42010120333022121
514022103031211
61004222443545
7106020254432
oct20430771231
95653421852
102221142681
11a3a86040a
1251ba335b5
13295224c14
14170dc2489
15ceee653b
hex8463f299

2221142681 has 2 divisors, whose sum is σ = 2221142682. Its totient is φ = 2221142680.

The previous prime is 2221142621. The next prime is 2221142687. The reversal of 2221142681 is 1862411222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1849000000 + 372142681 = 43000^2 + 19291^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221142681 - 230 = 1147400857 is a prime.

It is a super-2 number, since 2×22211426812 = 9866949618719735522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2221142687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110571340 + 1110571341.

It is an arithmetic number, because the mean of its divisors is an integer number (1110571341).

Almost surely, 22221142681 is an apocalyptic number.

It is an amenable number.

2221142681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221142681 is an equidigital number, since it uses as much as digits as its factorization.

2221142681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 29.

The square root of 2221142681 is about 47129.0004243672. Note that the first 3 decimals coincide. The cubic root of 2221142681 is about 1304.7445331123.

The spelling of 2221142681 in words is "two billion, two hundred twenty-one million, one hundred forty-two thousand, six hundred eighty-one".