Search a number
-
+
225225 = 325271113
BaseRepresentation
bin110110111111001001
3102102221200
4312333021
524201400
64454413
71625430
oct667711
9372850
10225225
11144240
12aa409
137b690
145c117
1546b00
hex36fc9

225225 has 72 divisors (see below), whose sum is σ = 541632. Its totient is φ = 86400.

The previous prime is 225223. The next prime is 225227. The reversal of 225225 is 522522.

225225 = 782 + 792 + ... + 1042.

225225 is digitally balanced in base 7, 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 (225223) and next prime (225227).

It is not a de Polignac number, because 225225 - 21 = 225223 is a prime.

225225 is strictly pandigital in base 7.

It is a Curzon number.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 225198 and 225207.

It is not an unprimeable number, because it can be changed into a prime (225221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17319 + ... + 17331.

2225225 is an apocalyptic number.

225225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225225 is an abundant number, since it is smaller than the sum of its proper divisors (316407).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225225 is a wasteful number, since it uses less digits than its factorization.

225225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 225225 is about 474.5787605867. The cubic root of 225225 is about 60.8422872081.

Adding to 225225 its product of digits (400), we get a square (225625 = 4752).

Adding to 225225 its reverse (522522), we get a palindrome (747747).

The spelling of 225225 in words is "two hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 13 15 21 25 33 35 39 45 55 63 65 75 77 91 99 105 117 143 165 175 195 225 231 273 275 315 325 385 429 455 495 525 585 693 715 819 825 975 1001 1155 1287 1365 1575 1925 2145 2275 2475 2925 3003 3465 3575 4095 5005 5775 6435 6825 9009 10725 15015 17325 20475 25025 32175 45045 75075 225225