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2205826897 is a prime number
BaseRepresentation
bin1000001101111010…
…0011111101010001
312200201122121122111
42003132203331101
514004142430042
61002514305321
7105443135131
oct20336437521
95621577574
102205826897
11a3214a43a
12516888241
13291cc1921
1416cd56ac1
15cd9bd517
hex837a3f51

2205826897 has 2 divisors, whose sum is σ = 2205826898. Its totient is φ = 2205826896.

The previous prime is 2205826879. The next prime is 2205826919. The reversal of 2205826897 is 7986285022.

It is a happy number.

Together with previous prime (2205826879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2109473041 + 96353856 = 45929^2 + 9816^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205826897 - 223 = 2197438289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2205826897.

It is not a weakly prime, because it can be changed into another prime (2205826867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102913448 + 1102913449.

It is an arithmetic number, because the mean of its divisors is an integer number (1102913449).

Almost surely, 22205826897 is an apocalyptic number.

It is an amenable number.

2205826897 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205826897 is an equidigital number, since it uses as much as digits as its factorization.

2205826897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 2205826897 is about 46966.2314540990. The cubic root of 2205826897 is about 1301.7386789008.

The spelling of 2205826897 in words is "two billion, two hundred five million, eight hundred twenty-six thousand, eight hundred ninety-seven".