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2200221002249 is a prime number
BaseRepresentation
bin100000000001000111011…
…001000010101000001001
321210100011011222121112222
4200001013121002220021
5242022023034032444
64402433443543425
7314650345641344
oct40010731025011
97710134877488
102200221002249
1177912143a276
122b650168ab75
1312c6315b21ba
14786c405d45b
153c375a58eee
hex20047642a09

2200221002249 has 2 divisors, whose sum is σ = 2200221002250. Its totient is φ = 2200221002248.

The previous prime is 2200221002183. The next prime is 2200221002321. The reversal of 2200221002249 is 9422001220022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1457254580224 + 742966422025 = 1207168^2 + 861955^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200221002249 - 216 = 2200220936713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200221002549) 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, 1100110501124 + 1100110501125.

It is an arithmetic number, because the mean of its divisors is an integer number (1100110501125).

Almost surely, 22200221002249 is an apocalyptic number.

It is an amenable number.

2200221002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200221002249 is an equidigital number, since it uses as much as digits as its factorization.

2200221002249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 2200221002249 in words is "two trillion, two hundred billion, two hundred twenty-one million, two thousand, two hundred forty-nine".