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33189 = 3132337
BaseRepresentation
bin1000000110100101
31200112020
420012211
52030224
6413353
7165522
oct100645
950466
1033189
1122a32
1217259
1312150
14c149
159c79
hex81a5

33189 has 16 divisors (see below), whose sum is σ = 51072. Its totient is φ = 19008.

The previous prime is 33181. The next prime is 33191. The reversal of 33189 is 98133.

It is not a de Polignac number, because 33189 - 23 = 33181 is a prime.

It is a super-2 number, since 2×331892 = 2203019442, which contains 22 as substring.

33189 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

233189 is an apocalyptic number.

33189 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

33189 is a deficient number, since it is larger than the sum of its proper divisors (17883).

33189 is a wasteful number, since it uses less digits than its factorization.

33189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its digits is 648, while the sum is 24.

The square root of 33189 is about 182.1784839107. The cubic root of 33189 is about 32.1364615141.

It can be divided in two parts, 33 and 189, that added together give a palindrome (222).

The spelling of 33189 in words is "thirty-three thousand, one hundred eighty-nine".

Divisors: 1 3 13 23 37 39 69 111 299 481 851 897 1443 2553 11063 33189