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225888 = 25313181
BaseRepresentation
bin110111001001100000
3102110212020
4313021200
524212023
64501440
71630365
oct671140
9373766
10225888
11144793
12aa880
137ba80
145c46c
1546de3
hex37260

225888 has 48 divisors (see below), whose sum is σ = 642096. Its totient is φ = 69120.

The previous prime is 225871. The next prime is 225889. The reversal of 225888 is 888522.

225888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225889) by changing a digit.

225888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2225888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

225888 is an abundant number, since it is smaller than the sum of its proper divisors (416208).

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

225888 is a wasteful number, since it uses less digits than its factorization.

225888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 225888 is about 475.2767614769. The cubic root of 225888 is about 60.9019296683.

It can be divided in two parts, 2258 and 88, that added together give a triangular number (2346 = T68).

The spelling of 225888 in words is "two hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 181 208 312 362 416 543 624 724 1086 1248 1448 2172 2353 2896 4344 4706 5792 7059 8688 9412 14118 17376 18824 28236 37648 56472 75296 112944 225888