Search a number
-
+
2240000509 is a prime number
BaseRepresentation
bin1000010110000011…
…1011000111111101
312210002221211000211
42011200323013331
514041420004014
61010134552421
7106336455505
oct20540730775
95702854024
102240000509
11a4a47059a
12526208711
132990c84b6
141736d0a05
15d19bdcc4
hex8583b1fd

2240000509 has 2 divisors, whose sum is σ = 2240000510. Its totient is φ = 2240000508.

The previous prime is 2240000479. The next prime is 2240000557. The reversal of 2240000509 is 9050000422.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1682804484 + 557196025 = 41022^2 + 23605^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240000509 - 29 = 2239999997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2240000509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2240000569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120000254 + 1120000255.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000255).

Almost surely, 22240000509 is an apocalyptic number.

It is an amenable number.

2240000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240000509 is an equidigital number, since it uses as much as digits as its factorization.

2240000509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2240000509 is about 47328.6436420906. The cubic root of 2240000509 is about 1308.4266231809.

The spelling of 2240000509 in words is "two billion, two hundred forty million, five hundred nine", and thus it is an aban number.