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2218838201 is a prime number
BaseRepresentation
bin1000010001000000…
…1100100010111001
312201122010122210122
42010100030202321
514021010310301
61004101223025
7105661546016
oct20420144271
95648118718
102218838201
11a39526a88
1251b101a75
132948c9018
1417098270d
15cebdd81b
hex8440c8b9

2218838201 has 2 divisors, whose sum is σ = 2218838202. Its totient is φ = 2218838200.

The previous prime is 2218838197. The next prime is 2218838233. The reversal of 2218838201 is 1028388122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2106901801 + 111936400 = 45901^2 + 10580^2 .

It is a cyclic number.

It is not a de Polignac number, because 2218838201 - 22 = 2218838197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2218838261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1109419100 + 1109419101.

It is an arithmetic number, because the mean of its divisors is an integer number (1109419101).

Almost surely, 22218838201 is an apocalyptic number.

It is an amenable number.

2218838201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2218838201 is an equidigital number, since it uses as much as digits as its factorization.

2218838201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 2218838201 is about 47104.5454388427. The cubic root of 2218838201 is about 1304.2931441097.

The spelling of 2218838201 in words is "two billion, two hundred eighteen million, eight hundred thirty-eight thousand, two hundred one".