Search a number
33112 = 234139
BaseRepresentation
bin1000000101011000
31200102101
420011120
52024422
6413144
7165352
oct100530
950371
1033112
1122972
12171b4
13120c1
14c0d2
159c27
hex8158

33112 has 8 divisors (see below), whose sum is σ = 62100. Its totient is φ = 16552.

The previous prime is 33107. The next prime is 33113. The reversal of 33112 is 21133.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113) by changing a digit.

33112 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2062 + ... + 2077.

233112 is an apocalyptic number.

It is an amenable number.

33112 is a deficient number, since it is larger than the sum of its proper divisors (28988).

33112 is a wasteful number, since it uses less digits than its factorization.

33112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4141 counting only the distinct ones).

The product of its digits is 18, while the sum is 10.

The square root of 33112 is about 181.9670299807. The cubic root of 33112 is about 32.1115895820. Note that the first 3 decimals are identical.

Adding to 33112 its reverse (21133), we get a palindrome (54245).

It can be divided in two parts, 331 and 12, that added together give a palindrome (343).

The spelling of 33112 in words is "thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 4139 8278 16556 33112