Search a number
-
+
2191824497 is a prime number
BaseRepresentation
bin1000001010100100…
…1001011001110001
312122202022012222002
42002221021121301
513442101340442
61001254223345
7105213125612
oct20251113161
95582265862
102191824497
11a25256205
12512054b55
1328c12b395
1416b14dc09
15cc654732
hex82a49671

2191824497 has 2 divisors, whose sum is σ = 2191824498. Its totient is φ = 2191824496.

The previous prime is 2191824473. The next prime is 2191824499. The reversal of 2191824497 is 7944281912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1987019776 + 204804721 = 44576^2 + 14311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2191824497 is a prime.

Together with 2191824499, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2191824499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1095912248 + 1095912249.

It is an arithmetic number, because the mean of its divisors is an integer number (1095912249).

Almost surely, 22191824497 is an apocalyptic number.

It is an amenable number.

2191824497 is a deficient number, since it is larger than the sum of its proper divisors (1).

2191824497 is an equidigital number, since it uses as much as digits as its factorization.

2191824497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 47.

The square root of 2191824497 is about 46816.9253262108. The cubic root of 2191824497 is about 1298.9783881010.

The spelling of 2191824497 in words is "two billion, one hundred ninety-one million, eight hundred twenty-four thousand, four hundred ninety-seven".