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220200022249 is a prime number
BaseRepresentation
bin1100110100010011110…
…0011011000011101001
3210001101010012010200121
43031010330123003221
512101432201202444
6245054122403241
721623522210104
oct3150474330351
9701333163617
10220200022249
1185428198969
1236814660521
13179c328b26c
14a92cb9373b
155adba51084
hex3344f1b0e9

220200022249 has 2 divisors, whose sum is σ = 220200022250. Its totient is φ = 220200022248.

The previous prime is 220200022181. The next prime is 220200022267. The reversal of 220200022249 is 942220002022.

220200022249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218245940224 + 1954082025 = 467168^2 + 44205^2 .

It is a cyclic number.

It is not a de Polignac number, because 220200022249 - 29 = 220200021737 is a prime.

It is not a weakly prime, because it can be changed into another prime (220200022349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110100011124 + 110100011125.

It is an arithmetic number, because the mean of its divisors is an integer number (110100011125).

Almost surely, 2220200022249 is an apocalyptic number.

It is an amenable number.

220200022249 is a deficient number, since it is larger than the sum of its proper divisors (1).

220200022249 is an equidigital number, since it uses as much as digits as its factorization.

220200022249 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 25.

The spelling of 220200022249 in words is "two hundred twenty billion, two hundred million, twenty-two thousand, two hundred forty-nine".