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228132 = 22326337
BaseRepresentation
bin110111101100100100
3102120221100
4313230210
524300012
64520100
71640052
oct675444
9376840
10228132
11146443
12b0030
137cab8
145d1d2
15478dc
hex37b24

228132 has 18 divisors (see below), whose sum is σ = 576758. Its totient is φ = 76032.

The previous prime is 228131. The next prime is 228139. The reversal of 228132 is 231822.

It is a happy number.

228132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 181476 + 46656 = 426^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228132.

It is not an unprimeable number, because it can be changed into a prime (228131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3133 + ... + 3204.

2228132 is an apocalyptic number.

It is an amenable number.

228132 is an abundant number, since it is smaller than the sum of its proper divisors (348626).

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

228132 is a wasteful number, since it uses less digits than its factorization.

228132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6342 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 228132 is about 477.6316572423. The cubic root of 228132 is about 61.1029346881.

Adding to 228132 its sum of digits (18), we get a triangular number (228150 = T675).

Adding to 228132 its reverse (231822), we get a palindrome (459954).

The spelling of 228132 in words is "two hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6337 12674 19011 25348 38022 57033 76044 114066 228132