Search a number
-
+
2223564017 is a prime number
BaseRepresentation
bin1000010010001000…
…1110010011110001
312201222000202101212
42010202032103301
514023213022032
61004350405505
7106046660633
oct20442162361
95658022355
102223564017
11a41164614
12520800895
1329589206c
14171452a53
15d0323bb2
hex8488e4f1

2223564017 has 2 divisors, whose sum is σ = 2223564018. Its totient is φ = 2223564016.

The previous prime is 2223563999. The next prime is 2223564059. The reversal of 2223564017 is 7104653222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1558749361 + 664814656 = 39481^2 + 25784^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223564017 - 28 = 2223563761 is a prime.

It is not a weakly prime, because it can be changed into another prime (2223564097) 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, 1111782008 + 1111782009.

It is an arithmetic number, because the mean of its divisors is an integer number (1111782009).

Almost surely, 22223564017 is an apocalyptic number.

It is an amenable number.

2223564017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223564017 is an equidigital number, since it uses as much as digits as its factorization.

2223564017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2223564017 is about 47154.6818142165. The cubic root of 2223564017 is about 1305.2184749923.

The spelling of 2223564017 in words is "two billion, two hundred twenty-three million, five hundred sixty-four thousand, seventeen".