Search a number
-
+
2214585 = 325291697
BaseRepresentation
bin1000011100101010111001
311011111211200
420130222321
51031331320
6115244413
724552342
oct10345271
94144750
102214585
11128293a
128a9709
135c7009
144190c9
152db290
hex21cab9

2214585 has 24 divisors (see below), whose sum is σ = 3973320. Its totient is φ = 1139712.

The previous prime is 2214571. The next prime is 2214599. The reversal of 2214585 is 5854122.

It is a happy number.

2214585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2214571) and next prime (2214599).

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 1447209 = 876^2 + 1203^2 .

It is not a de Polignac number, because 2214585 - 26 = 2214521 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 457 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (165555).

22214585 is an apocalyptic number.

It is an amenable number.

2214585 is a deficient number, since it is larger than the sum of its proper divisors (1758735).

2214585 is a wasteful number, since it uses less digits than its factorization.

2214585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1734 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2214585 is about 1488.1481781059. The cubic root of 2214585 is about 130.3459228832.

The spelling of 2214585 in words is "two million, two hundred fourteen thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 1697 5091 8485 15273 25455 49213 76365 147639 246065 442917 738195 2214585