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32238 = 234199
BaseRepresentation
bin111110111101110
31122020000
413313232
52012423
6405130
7162663
oct76756
948200
1032238
1122248
12167a6
131189b
14ba6a
159843
hex7dee

32238 has 20 divisors (see below), whose sum is σ = 72600. Its totient is φ = 10692.

The previous prime is 32237. The next prime is 32251. The reversal of 32238 is 83223.

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

It is a plaindrome in base 11, base 13 and base 16.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 32238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32233) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (3630).

232238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300).

32238 is an abundant number, since it is smaller than the sum of its proper divisors (40362).

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

32238 is a wasteful number, since it uses less digits than its factorization.

32238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 32238 is about 179.5494360893. The cubic root of 32238 is about 31.8265353453.

The spelling of 32238 in words is "thirty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 398 597 1194 1791 3582 5373 10746 16119 32238