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2240114209 is a prime number
BaseRepresentation
bin1000010110000101…
…0110111000100001
312210010011120222221
42011201112320201
514041432123314
61010141231041
7106340441134
oct20541267041
95703146887
102240114209
11a4a538a63
12526262481
13299138188
1417372021b
15d19e2824
hex85856e21

2240114209 has 2 divisors, whose sum is σ = 2240114210. Its totient is φ = 2240114208.

The previous prime is 2240114207. The next prime is 2240114221. The reversal of 2240114209 is 9024110422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1829443984 + 410670225 = 42772^2 + 20265^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240114209 - 21 = 2240114207 is a prime.

It is a super-2 number, since 2×22401142092 = 10036223338727391362, which contains 22 as substring.

Together with 2240114207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2240114203) 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, 1120057104 + 1120057105.

It is an arithmetic number, because the mean of its divisors is an integer number (1120057105).

Almost surely, 22240114209 is an apocalyptic number.

It is an amenable number.

2240114209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240114209 is an equidigital number, since it uses as much as digits as its factorization.

2240114209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2240114209 is about 47329.8448021964. The cubic root of 2240114209 is about 1308.4487609125.

The spelling of 2240114209 in words is "two billion, two hundred forty million, one hundred fourteen thousand, two hundred nine".