Search a number
-
+
2262591 = 32594261
BaseRepresentation
bin1000101000011000111111
311020221200200
420220120333
51034400331
6120254543
725142322
oct10503077
94227620
102262591
111305a11
12911453
13612b16
1442c7b9
152ea5e6
hex22863f

2262591 has 12 divisors (see below), whose sum is σ = 3324360. Its totient is φ = 1482480.

The previous prime is 2262569. The next prime is 2262593. The reversal of 2262591 is 1952622.

2262591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2262591 - 215 = 2229823 is a prime.

2262591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262593) 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 11 ways as a sum of consecutive naturals, for example, 1600 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (277030).

22262591 is an apocalyptic number.

2262591 is a deficient number, since it is larger than the sum of its proper divisors (1061769).

2262591 is a wasteful number, since it uses less digits than its factorization.

2262591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4323 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2262591 is about 1504.1911447685. The cubic root of 2262591 is about 131.2810429973.

The spelling of 2262591 in words is "two million, two hundred sixty-two thousand, five hundred ninety-one".

Divisors: 1 3 9 59 177 531 4261 12783 38349 251399 754197 2262591