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2288918081 is a prime number
BaseRepresentation
bin1000100001101110…
…0001111001000001
312220112000002022202
42020123201321001
514141430334311
61015043242545
7110502324362
oct21033417101
95815002282
102288918081
11a7504203a
1253a679455
132a6294cc8
14179dc5b69
15d5e32e3b
hex886e1e41

2288918081 has 2 divisors, whose sum is σ = 2288918082. Its totient is φ = 2288918080.

The previous prime is 2288918017. The next prime is 2288918101. The reversal of 2288918081 is 1808198822.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1198267456 + 1090650625 = 34616^2 + 33025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2288918081 - 26 = 2288918017 is a prime.

It is a super-2 number, since 2×22889180812 = 10478291963057445122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2288918881) 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, 1144459040 + 1144459041.

It is an arithmetic number, because the mean of its divisors is an integer number (1144459041).

Almost surely, 22288918081 is an apocalyptic number.

It is an amenable number.

2288918081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2288918081 is an equidigital number, since it uses as much as digits as its factorization.

2288918081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 47.

The square root of 2288918081 is about 47842.6387336652. The cubic root of 2288918081 is about 1317.8826786070.

The spelling of 2288918081 in words is "two billion, two hundred eighty-eight million, nine hundred eighteen thousand, eighty-one".