Search a number
-
+
2221209509 is a prime number
BaseRepresentation
bin1000010001100100…
…1111011110100101
312201210121010121212
42010121033132211
514022112201014
61004224121205
7106020653321
oct20431173645
95653533555
102221209509
11a3a8a6642
1251ba66205
1329524946c
14170ddc981
15d000b23e
hex8464f7a5

2221209509 has 2 divisors, whose sum is σ = 2221209510. Its totient is φ = 2221209508.

The previous prime is 2221209503. The next prime is 2221209559. The reversal of 2221209509 is 9059021222.

2221209509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2051637025 + 169572484 = 45295^2 + 13022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221209509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221209503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110604754 + 1110604755.

It is an arithmetic number, because the mean of its divisors is an integer number (1110604755).

Almost surely, 22221209509 is an apocalyptic number.

It is an amenable number.

2221209509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221209509 is an equidigital number, since it uses as much as digits as its factorization.

2221209509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 2221209509 is about 47129.7094092463. The cubic root of 2221209509 is about 1304.7576183580.

The spelling of 2221209509 in words is "two billion, two hundred twenty-one million, two hundred nine thousand, five hundred nine".