Search a number
-
+
214107585 = 3526095471
BaseRepresentation
bin11001100001100…
…00010111000001
3112220212210101120
430300300113001
5414302420320
633125022453
75206612236
oct1460602701
9486783346
10214107585
11aa94921a
125b854a29
13354866a3
142061578d
1513be4440
hexcc305c1

214107585 has 16 divisors (see below), whose sum is σ = 342766080. Its totient is φ = 114126080.

The previous prime is 214107563. The next prime is 214107587. The reversal of 214107585 is 585701412.

It is not a de Polignac number, because 214107585 - 26 = 214107521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214107587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36400 + ... + 41870.

It is an arithmetic number, because the mean of its divisors is an integer number (21422880).

Almost surely, 2214107585 is an apocalyptic number.

It is an amenable number.

214107585 is a deficient number, since it is larger than the sum of its proper divisors (128658495).

214107585 is a wasteful number, since it uses less digits than its factorization.

214107585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088.

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 214107585 is about 14632.4155558814. The cubic root of 214107585 is about 598.2426216163.

Adding to 214107585 its reverse (585701412), we get a palindrome (799808997).

The spelling of 214107585 in words is "two hundred fourteen million, one hundred seven thousand, five hundred eighty-five".

Divisors: 1 3 5 15 2609 5471 7827 13045 16413 27355 39135 82065 14273839 42821517 71369195 214107585