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2217738241 is a prime number
BaseRepresentation
bin1000010000110000…
…0000000000000001
312201120001202221101
42010030000000001
514020220110431
61004021454401
7105646315105
oct20414000001
95646052841
102217738241
11a38945624
1251a871401
13294602464
14170777905
15cea72961
hex84300001

2217738241 has 2 divisors, whose sum is σ = 2217738242. Its totient is φ = 2217738240.

The previous prime is 2217738209. The next prime is 2217738253. The reversal of 2217738241 is 1428377122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2038071025 + 179667216 = 45145^2 + 13404^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217738241 - 25 = 2217738209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2217738241.

It is not a weakly prime, because it can be changed into another prime (2217738541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1108869120 + 1108869121.

It is an arithmetic number, because the mean of its divisors is an integer number (1108869121).

It is a Proth number, since it is equal to 2115 ⋅ 220 + 1 and 2115 < 220.

Almost surely, 22217738241 is an apocalyptic number.

It is an amenable number.

2217738241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217738241 is an equidigital number, since it uses as much as digits as its factorization.

2217738241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37632, while the sum is 37.

The square root of 2217738241 is about 47092.8682604914. The cubic root of 2217738241 is about 1304.0775797324.

The spelling of 2217738241 in words is "two billion, two hundred seventeen million, seven hundred thirty-eight thousand, two hundred forty-one".