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2224208993 is a prime number
BaseRepresentation
bin1000010010010010…
…1011110001100001
312202000020112010212
42010210223301201
514023344141433
61004412303505
7106055315216
oct20444536141
95660215125
102224208993
11a41565156
12520a71b95
13295a597c6
1417157db0d
15d03eed48
hex8492bc61

2224208993 has 2 divisors, whose sum is σ = 2224208994. Its totient is φ = 2224208992.

The previous prime is 2224208981. The next prime is 2224209067. The reversal of 2224208993 is 3998024222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1560013009 + 664195984 = 39497^2 + 25772^2 .

It is a cyclic number.

It is not a de Polignac number, because 2224208993 - 26 = 2224208929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2224208993.

It is not a weakly prime, because it can be changed into another prime (2224208593) 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, 1112104496 + 1112104497.

It is an arithmetic number, because the mean of its divisors is an integer number (1112104497).

Almost surely, 22224208993 is an apocalyptic number.

It is an amenable number.

2224208993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224208993 is an equidigital number, since it uses as much as digits as its factorization.

2224208993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2224208993 is about 47161.5202575150. The cubic root of 2224208993 is about 1305.3446617811.

The spelling of 2224208993 in words is "two billion, two hundred twenty-four million, two hundred eight thousand, nine hundred ninety-three".