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223125 = 354717
BaseRepresentation
bin110110011110010101
3102100001220
4312132111
524120000
64440553
71616340
oct663625
9370056
10223125
11142701
12a9159
137a736
145b457
15461a0
hex36795

223125 has 40 divisors (see below), whose sum is σ = 449856. Its totient is φ = 96000.

The previous prime is 223103. The next prime is 223129. The reversal of 223125 is 521322.

It is not a de Polignac number, because 223125 - 26 = 223061 is a prime.

It is a super-3 number, since 3×2231253 = 33324677490234375, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13117 + ... + 13133.

2223125 is an apocalyptic number.

223125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223125 is an abundant number, since it is smaller than the sum of its proper divisors (226731).

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

223125 is an equidigital number, since it uses as much as digits as its factorization.

223125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 32 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 223125 is about 472.3610906923. The cubic root of 223125 is about 60.6525984097.

Adding to 223125 its reverse (521322), we get a palindrome (744447).

The spelling of 223125 in words is "two hundred twenty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 125 175 255 357 375 425 525 595 625 875 1275 1785 1875 2125 2625 2975 4375 6375 8925 10625 13125 14875 31875 44625 74375 223125