Search a number
-
+
2258363 is a prime number
BaseRepresentation
bin1000100111010110111011
311020201220002
420213112323
51034231423
6120223215
725124102
oct10472673
94221802
102258363
111302818
1290ab0b
13610c13
1442b039
152e9228
hex2275bb

2258363 has 2 divisors, whose sum is σ = 2258364. Its totient is φ = 2258362.

The previous prime is 2258357. The next prime is 2258387. The reversal of 2258363 is 3638522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2258363 - 26 = 2258299 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 28 + 210 + 59 + 84 + 35 + 67 + 39 .

It is equal to p166664 and since 2258363 and 166664 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (2258323) 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, 1129181 + 1129182.

It is an arithmetic number, because the mean of its divisors is an integer number (1129182).

22258363 is an apocalyptic number.

2258363 is a deficient number, since it is larger than the sum of its proper divisors (1).

2258363 is an equidigital number, since it uses as much as digits as its factorization.

2258363 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 29.

The square root of 2258363 is about 1502.7850811077. The cubic root of 2258363 is about 131.1992190552.

It can be divided in two parts, 22 and 58363, that added together give a palindrome (58385).

The spelling of 2258363 in words is "two million, two hundred fifty-eight thousand, three hundred sixty-three".