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225939 = 3722953
BaseRepresentation
bin110111001010010011
3102110221010
4313022103
524212224
64502003
71630500
oct671223
9373833
10225939
1114482a
12aa903
137babc
145c4a7
1546e29
hex37293

225939 has 24 divisors (see below), whose sum is σ = 369360. Its totient is φ = 122304.

The previous prime is 225931. The next prime is 225941. The reversal of 225939 is 939522.

It is not a de Polignac number, because 225939 - 23 = 225931 is a prime.

225939 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225939.

It is not an unprimeable number, because it can be changed into a prime (225931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237 + ... + 4289.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2225939 is an apocalyptic number.

225939 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

225939 is a deficient number, since it is larger than the sum of its proper divisors (143421).

225939 is a wasteful number, since it uses less digits than its factorization.

225939 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 225939 is about 475.3304113982. The cubic root of 225939 is about 60.9065127135.

The spelling of 225939 in words is "two hundred twenty-five thousand, nine hundred thirty-nine".

Divisors: 1 3 7 21 29 49 53 87 147 159 203 371 609 1113 1421 1537 2597 4263 4611 7791 10759 32277 75313 225939