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2248085009 is a prime number
BaseRepresentation
bin1000010111111111…
…0000111000010001
312210200011112212202
42011333300320101
514101002210014
61011024132545
7106465256462
oct20577607021
95720145782
102248085009
11a53a925a5
12528a67155
1329a999221
141747d6d69
15d25693de
hex85ff0e11

2248085009 has 2 divisors, whose sum is σ = 2248085010. Its totient is φ = 2248085008.

The previous prime is 2248084991. The next prime is 2248085011. The reversal of 2248085009 is 9005808422.

2248085009 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., 1818766609 + 429318400 = 42647^2 + 20720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2248085009 is a prime.

Together with 2248085011, 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 (2248085209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1124042504 + 1124042505.

It is an arithmetic number, because the mean of its divisors is an integer number (1124042505).

Almost surely, 22248085009 is an apocalyptic number.

It is an amenable number.

2248085009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2248085009 is an equidigital number, since it uses as much as digits as its factorization.

2248085009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 2248085009 is about 47413.9748281032. The cubic root of 2248085009 is about 1309.9988363139.

The spelling of 2248085009 in words is "two billion, two hundred forty-eight million, eighty-five thousand, nine".