Search a number
-
+
2288241 = 32254249
BaseRepresentation
bin1000101110101001110001
311022020212200
420232221301
51041210431
6121013413
725310154
oct10565161
94266780
102288241
11132320a
12924269
136216b7
14437c9b
15302ee6
hex22ea71

2288241 has 6 divisors (see below), whose sum is σ = 3305250. Its totient is φ = 1525488.

The previous prime is 2288239. The next prime is 2288243. The reversal of 2288241 is 1428822.

2288241 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 (2288239) and next prime (2288243).

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 848241 = 1200^2 + 921^2 .

It is not a de Polignac number, because 2288241 - 21 = 2288239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2288243) 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 5 ways as a sum of consecutive naturals, for example, 127116 + ... + 127133.

It is an arithmetic number, because the mean of its divisors is an integer number (550875).

22288241 is an apocalyptic number.

It is an amenable number.

2288241 is a deficient number, since it is larger than the sum of its proper divisors (1017009).

2288241 is a wasteful number, since it uses less digits than its factorization.

2288241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254255 (or 254252 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2288241 is about 1512.6932934339. The cubic root of 2288241 is about 131.7752718907.

The spelling of 2288241 in words is "two million, two hundred eighty-eight thousand, two hundred forty-one".

Divisors: 1 3 9 254249 762747 2288241