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225675 = 32521759
BaseRepresentation
bin110111000110001011
3102110120100
4313012023
524210200
64500443
71626642
oct670613
9373510
10225675
1114460a
12aa723
137b948
145c359
1546d00
hex3718b

225675 has 36 divisors (see below), whose sum is σ = 435240. Its totient is φ = 111360.

The previous prime is 225671. The next prime is 225683. The reversal of 225675 is 576522.

It is not a de Polignac number, because 225675 - 22 = 225671 is a prime.

Its product of digits (4200) is a multiple of the sum of its prime divisors (84).

225675 is a modest number, since divided by 675 gives 225 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3796 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2225675 is an apocalyptic number.

225675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225675 is a deficient number, since it is larger than the sum of its proper divisors (209565).

225675 is a wasteful number, since it uses less digits than its factorization.

225675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 225675 is about 475.0526286634. The cubic root of 225675 is about 60.8827812548.

It can be divided in two parts, 225 and 675, that added together give a square (900 = 302).

The spelling of 225675 in words is "two hundred twenty-five thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 59 75 85 153 177 225 255 295 425 531 765 885 1003 1275 1475 2655 3009 3825 4425 5015 9027 13275 15045 25075 45135 75225 225675