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2002222220249 is a prime number
BaseRepresentation
bin11101001000101101101…
…111101000001111011001
321002102002022100100001202
4131020231233220033121
5230301022342021444
64131450322523545
7264440635031216
oct35105557501731
97072068310052
102002222220249
11702157277849
122840642065b5
13116a68a758b4
146cc9da72b0d
153713813834e
hex1d22dbe83d9

2002222220249 has 2 divisors, whose sum is σ = 2002222220250. Its totient is φ = 2002222220248.

The previous prime is 2002222220209. The next prime is 2002222220261. The reversal of 2002222220249 is 9420222222002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1945098830224 + 57123390025 = 1394668^2 + 239005^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002222220249 - 228 = 2001953784793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002222220209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001111110124 + 1001111110125.

It is an arithmetic number, because the mean of its divisors is an integer number (1001111110125).

Almost surely, 22002222220249 is an apocalyptic number.

It is an amenable number.

2002222220249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002222220249 is an equidigital number, since it uses as much as digits as its factorization.

2002222220249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 2002222220249 in words is "two trillion, two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred forty-nine".