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33216 = 263173
BaseRepresentation
bin1000000111000000
31200120020
420013000
52030331
6413440
7165561
oct100700
950506
1033216
1122a57
1217280
1312171
14c168
159c96
hex81c0

33216 has 28 divisors (see below), whose sum is σ = 88392. Its totient is φ = 11008.

The previous prime is 33211. The next prime is 33223. The reversal of 33216 is 61233.

Adding to 33216 its reverse (61233), we get a palindrome (94449).

33216 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×332162 = 2206605312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33195 and 33204.

It is a congruent number.

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

33216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106 + ... + 278.

233216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44196).

33216 is an abundant number, since it is smaller than the sum of its proper divisors (55176).

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

33216 is a wasteful number, since it uses less digits than its factorization.

33216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 33216 is about 182.2525719983. The cubic root of 33216 is about 32.1451737307.

The spelling of 33216 in words is "thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 33216