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2217200201 is a prime number
BaseRepresentation
bin1000010000100111…
…1100101001001001
312201112001102212222
42010021330221021
514020100401301
61004002143425
7105641614346
oct20411745111
95645042788
102217200201
11a38608367
1251a651b75
132944745a8
141706777cd
15ce9b831b
hex8427ca49

2217200201 has 2 divisors, whose sum is σ = 2217200202. Its totient is φ = 2217200200.

The previous prime is 2217200149. The next prime is 2217200239. The reversal of 2217200201 is 1020027122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1989160000 + 228040201 = 44600^2 + 15101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217200201 - 214 = 2217183817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2217200201.

It is not a weakly prime, because it can be changed into another prime (2217200261) 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, 1108600100 + 1108600101.

It is an arithmetic number, because the mean of its divisors is an integer number (1108600101).

Almost surely, 22217200201 is an apocalyptic number.

It is an amenable number.

2217200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217200201 is an equidigital number, since it uses as much as digits as its factorization.

2217200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2217200201 is about 47087.1553717147. The cubic root of 2217200201 is about 1303.9721115220.

Adding to 2217200201 its reverse (1020027122), we get a palindrome (3237227323).

The spelling of 2217200201 in words is "two billion, two hundred seventeen million, two hundred thousand, two hundred one".