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2200122257 is a prime number
BaseRepresentation
bin1000001100100011…
…0011001110010001
312200022220210100112
42003020303032101
514001212403012
61002152131105
7105343505414
oct20310631621
95608823315
102200122257
11a29a03463
12514996a95
13290a751b8
1416c2adb7b
15cd243122
hex83233391

2200122257 has 2 divisors, whose sum is σ = 2200122258. Its totient is φ = 2200122256.

The previous prime is 2200122193. The next prime is 2200122263. The reversal of 2200122257 is 7522210022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1922033281 + 278088976 = 43841^2 + 16676^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200122257 - 26 = 2200122193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200122277) 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, 1100061128 + 1100061129.

It is an arithmetic number, because the mean of its divisors is an integer number (1100061129).

Almost surely, 22200122257 is an apocalyptic number.

It is an amenable number.

2200122257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200122257 is an equidigital number, since it uses as much as digits as its factorization.

2200122257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 2200122257 is about 46905.4608441277. The cubic root of 2200122257 is about 1300.6155382852.

Adding to 2200122257 its reverse (7522210022), we get a palindrome (9722332279).

The spelling of 2200122257 in words is "two billion, two hundred million, one hundred twenty-two thousand, two hundred fifty-seven".