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2208993841 is a prime number
BaseRepresentation
bin1000001110101010…
…1001001000110001
312200221121111212201
42003222221020301
514011000300331
61003110223201
7105512065165
oct20352511061
95627544781
102208993841
11a33a1284a
12517954b01
13292860262
1416d53cca5
15cdde6a61
hex83aa9231

2208993841 has 2 divisors, whose sum is σ = 2208993842. Its totient is φ = 2208993840.

The previous prime is 2208993823. The next prime is 2208993847. The reversal of 2208993841 is 1483998022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1229554225 + 979439616 = 35065^2 + 31296^2 .

It is a cyclic number.

It is not a de Polignac number, because 2208993841 - 29 = 2208993329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2208993791 and 2208993800.

It is not a weakly prime, because it can be changed into another prime (2208993847) 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, 1104496920 + 1104496921.

It is an arithmetic number, because the mean of its divisors is an integer number (1104496921).

Almost surely, 22208993841 is an apocalyptic number.

It is an amenable number.

2208993841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2208993841 is an equidigital number, since it uses as much as digits as its factorization.

2208993841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 2208993841 is about 46999.9344786777. The cubic root of 2208993841 is about 1302.3613572783.

The spelling of 2208993841 in words is "two billion, two hundred eight million, nine hundred ninety-three thousand, eight hundred forty-one".