Search a number
-
+
2363264369 is a prime number
BaseRepresentation
bin1000110011011100…
…1000110101110001
320002200220021020222
42030313020311301
514314443424434
61030300542425
7112364262404
oct21467106561
96080807228
102363264369
111003001554
1255b551a15
132b87c5bab
14185c19d3b
15dc71b72e
hex8cdc8d71

2363264369 has 2 divisors, whose sum is σ = 2363264370. Its totient is φ = 2363264368.

The previous prime is 2363264363. The next prime is 2363264377. The reversal of 2363264369 is 9634623632.

2363264369 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., 1792675600 + 570588769 = 42340^2 + 23887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2363264369 - 24 = 2363264353 is a prime.

It is a super-2 number, since 2×23632643692 = 11170036955569936322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2363264363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1181632184 + 1181632185.

It is an arithmetic number, because the mean of its divisors is an integer number (1181632185).

Almost surely, 22363264369 is an apocalyptic number.

It is an amenable number.

2363264369 is a deficient number, since it is larger than the sum of its proper divisors (1).

2363264369 is an equidigital number, since it uses as much as digits as its factorization.

2363264369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 839808, while the sum is 44.

The square root of 2363264369 is about 48613.4175819804. The cubic root of 2363264369 is about 1331.9996244366. Note that the first 3 decimals are identical.

The spelling of 2363264369 in words is "two billion, three hundred sixty-three million, two hundred sixty-four thousand, three hundred sixty-nine".