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208125 = 325437
BaseRepresentation
bin110010110011111101
3101120111100
4302303331
523130000
64243313
71524531
oct626375
9346440
10208125
11132405
12a0539
1373968
1455bc1
1541a00
hex32cfd

208125 has 30 divisors (see below), whose sum is σ = 385814. Its totient is φ = 108000.

The previous prime is 208121. The next prime is 208129. The reversal of 208125 is 521802.

It is an interprime number because it is at equal distance from previous prime (208121) and next prime (208129).

It can be written as a sum of positive squares in 5 ways, for example, as 39204 + 168921 = 198^2 + 411^2 .

It is not a de Polignac number, because 208125 - 22 = 208121 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 208098 and 208107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208125.

It is not an unprimeable number, because it can be changed into a prime (208121) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5607 + ... + 5643.

2208125 is an apocalyptic number.

208125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208125 is a deficient number, since it is larger than the sum of its proper divisors (177689).

208125 is an equidigital number, since it uses as much as digits as its factorization.

208125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 208125 is about 456.2071897724. The cubic root of 208125 is about 59.2617879660.

Adding to 208125 its reverse (521802), we get a palindrome (729927).

It can be divided in two parts, 2081 and 25, that multiplied together give a palindrome (52025).

The spelling of 208125 in words is "two hundred eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 185 225 333 375 555 625 925 1125 1665 1875 2775 4625 5625 8325 13875 23125 41625 69375 208125