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2243124809 is a prime number
BaseRepresentation
bin1000010110110011…
…0101111001001001
312210022211112202122
42011230311321021
514043214443214
61010325541025
7106405150322
oct20554657111
95708745678
102243124809
11a51204962
12527274775
132999505b3
14173ca5449
15d1dd988e
hex85b35e49

2243124809 has 2 divisors, whose sum is σ = 2243124810. Its totient is φ = 2243124808.

The previous prime is 2243124787. The next prime is 2243124811. The reversal of 2243124809 is 9084213422.

2243124809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1626347584 + 616777225 = 40328^2 + 24835^2 .

It is a cyclic number.

It is not a de Polignac number, because 2243124809 - 224 = 2226347593 is a prime.

Together with 2243124811, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2243124839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121562404 + 1121562405.

It is an arithmetic number, because the mean of its divisors is an integer number (1121562405).

Almost surely, 22243124809 is an apocalyptic number.

It is an amenable number.

2243124809 is a deficient number, since it is larger than the sum of its proper divisors (1).

2243124809 is an equidigital number, since it uses as much as digits as its factorization.

2243124809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2243124809 is about 47361.6385801843. The cubic root of 2243124809 is about 1309.0346614644.

The spelling of 2243124809 in words is "two billion, two hundred forty-three million, one hundred twenty-four thousand, eight hundred nine".