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225544 = 23112233
BaseRepresentation
bin110111000100001000
3102110101111
4313010020
524204134
64500104
71626364
oct670410
9373344
10225544
11144500
12aa634
137b877
145c2a4
1546c64
hex37108

225544 has 24 divisors (see below), whose sum is σ = 466830. Its totient is φ = 102080.

The previous prime is 225529. The next prime is 225569. The reversal of 225544 is 445522.

225544 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 12100 = 462^2 + 110^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is an unprimeable number.

225544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 852 + ... + 1084.

2225544 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 225544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415).

225544 is an abundant number, since it is smaller than the sum of its proper divisors (241286).

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

225544 is a wasteful number, since it uses less digits than its factorization.

225544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its digits is 1600, while the sum is 22.

The square root of 225544 is about 474.9147291883. The cubic root of 225544 is about 60.8709985466.

Subtracting from 225544 its sum of digits (22), we obtain a palindrome (225522).

The spelling of 225544 in words is "two hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 233 242 466 484 932 968 1864 2563 5126 10252 20504 28193 56386 112772 225544