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225615 = 3513289
BaseRepresentation
bin110111000101001111
3102110111010
4313011033
524204430
64500303
71626525
oct670517
9373433
10225615
11144565
12aa693
137b900
145c315
1546cb0
hex3714f

225615 has 24 divisors (see below), whose sum is σ = 395280. Its totient is φ = 109824.

The previous prime is 225613. The next prime is 225619. The reversal of 225615 is 516522.

It is not a de Polignac number, because 225615 - 21 = 225613 is a prime.

225615 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 225591 and 225600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225611) 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 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (16470).

2225615 is an apocalyptic number.

225615 is a deficient number, since it is larger than the sum of its proper divisors (169665).

225615 is a wasteful number, since it uses less digits than its factorization.

225615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 225615 is about 474.9894735676. The cubic root of 225615 is about 60.8773851607.

The spelling of 225615 in words is "two hundred twenty-five thousand, six hundred fifteen".

Divisors: 1 3 5 13 15 39 65 89 169 195 267 445 507 845 1157 1335 2535 3471 5785 15041 17355 45123 75205 225615