Search a number
-
+
9225 = 325241
BaseRepresentation
bin10010000001001
3110122200
42100021
5243400
6110413
735616
oct22011
913580
109225
116a27
125409
134278
14350d
152b00
hex2409

9225 has 18 divisors (see below), whose sum is σ = 16926. Its totient is φ = 4800.

The previous prime is 9221. The next prime is 9227. The reversal of 9225 is 5229.

9225 is nontrivially palindromic in base 2.

9225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9 + 9216 = 3^2 + 96^2 .

It is not a de Polignac number, because 9225 - 22 = 9221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9198 and 9207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 205 + ... + 245.

29225 is an apocalyptic number.

It is an amenable number.

9225 is a deficient number, since it is larger than the sum of its proper divisors (7701).

9225 is a wasteful number, since it uses less digits than its factorization.

9225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 49 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 9225 is about 96.0468635615. The cubic root of 9225 is about 20.9727537806.

Subtracting from 9225 its product of digits (180), we obtain a triangular number (9045 = T134).

It can be divided in two parts, 9 and 225, that multiplied together give a square (2025 = 452).

The spelling of 9225 in words is "nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 9225