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225639 = 3361137
BaseRepresentation
bin110111000101100111
3102110112000
4313011213
524210024
64500343
71626561
oct670547
9373460
10225639
11144587
12aa6b3
137b91b
145c331
1546cc9
hex37167

225639 has 16 divisors (see below), whose sum is σ = 342240. Its totient is φ = 146880.

The previous prime is 225637. The next prime is 225671. The reversal of 225639 is 936522.

225639 is a `hidden beast` number, since 2 + 25 + 639 = 666.

It is not a de Polignac number, because 225639 - 21 = 225637 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225637) 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 15 ways as a sum of consecutive naturals, for example, 1579 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (21390).

2225639 is an apocalyptic number.

225639 is a deficient number, since it is larger than the sum of its proper divisors (116601).

225639 is a wasteful number, since it uses less digits than its factorization.

225639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 225639 is about 475.0147366135. The cubic root of 225639 is about 60.8795437131.

The spelling of 225639 in words is "two hundred twenty-five thousand, six hundred thirty-nine".

Divisors: 1 3 9 27 61 137 183 411 549 1233 1647 3699 8357 25071 75213 225639