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33212 = 2219223
BaseRepresentation
bin1000000110111100
31200120002
420012330
52030322
6413432
7165554
oct100674
950502
1033212
1122a53
1217278
131216a
14c164
159c92
hex81bc

33212 has 18 divisors (see below), whose sum is σ = 64008. Its totient is φ = 15048.

The previous prime is 33211. The next prime is 33223. The reversal of 33212 is 21233.

It is a super-2 number, since 2×332122 = 2206073888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33193 and 33202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33212.

It is not an unprimeable number, because it can be changed into a prime (33211) by changing a digit.

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, 1433 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (3556).

233212 is an apocalyptic number.

It is an amenable number.

33212 is a deficient number, since it is larger than the sum of its proper divisors (30796).

33212 is a wasteful number, since it uses less digits than its factorization.

33212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its digits is 36, while the sum is 11.

The square root of 33212 is about 182.2415978859. The cubic root of 33212 is about 32.1438833300.

Adding to 33212 its reverse (21233), we get a palindrome (54445).

It can be divided in two parts, 33 and 212, that multiplied together give a palindrome (6996).

The spelling of 33212 in words is "thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 19 23 38 46 76 92 361 437 722 874 1444 1748 8303 16606 33212