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1922208641 is a prime number
BaseRepresentation
bin111001010010010…
…1001001110000001
311221221222022112122
41302210221032001
512414041134031
6514423334025
765430334553
oct16244511601
94857868478
101922208641
118a7044891
124578b1315
1324830b382
141434094d3
15b3b4847b
hex72929381

1922208641 has 2 divisors, whose sum is σ = 1922208642. Its totient is φ = 1922208640.

The previous prime is 1922208623. The next prime is 1922208643. The reversal of 1922208641 is 1468022291.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1398760000 + 523448641 = 37400^2 + 22879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1922208641 is a prime.

Together with 1922208643, 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 (1922208643) 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, 961104320 + 961104321.

It is an arithmetic number, because the mean of its divisors is an integer number (961104321).

Almost surely, 21922208641 is an apocalyptic number.

It is an amenable number.

1922208641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1922208641 is an equidigital number, since it uses as much as digits as its factorization.

1922208641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1922208641 is about 43842.9999087654. Note that the first 4 decimals coincide. The cubic root of 1922208641 is about 1243.3694003885.

The spelling of 1922208641 in words is "one billion, nine hundred twenty-two million, two hundred eight thousand, six hundred forty-one".