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233325 = 32521761
BaseRepresentation
bin111000111101101101
3102212001200
4320331231
524431300
65000113
71661151
oct707555
9385050
10233325
1114a334
12b3039
1382281
1461061
1549200
hex38f6d

233325 has 36 divisors (see below), whose sum is σ = 449748. Its totient is φ = 115200.

The previous prime is 233323. The next prime is 233327. The reversal of 233325 is 523332.

It is an interprime number because it is at equal distance from previous prime (233323) and next prime (233327).

It can be written as a sum of positive squares in 6 ways, for example, as 19881 + 213444 = 141^2 + 462^2 .

It is not a de Polignac number, because 233325 - 21 = 233323 is a prime.

It is a Curzon number.

233325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 233298 and 233307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233323) 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, 3795 + ... + 3855.

It is an arithmetic number, because the mean of its divisors is an integer number (12493).

2233325 is an apocalyptic number.

233325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233325 is a deficient number, since it is larger than the sum of its proper divisors (216423).

233325 is a wasteful number, since it uses less digits than its factorization.

233325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 233325 is about 483.0372656431. The cubic root of 233325 is about 61.5630921035.

Adding to 233325 its reverse (523332), we get a palindrome (756657).

The spelling of 233325 in words is "two hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 61 75 85 153 183 225 255 305 425 549 765 915 1037 1275 1525 2745 3111 3825 4575 5185 9333 13725 15555 25925 46665 77775 233325