Search a number
-
+
33229 = 747101
BaseRepresentation
bin1000000111001101
31200120201
420013031
52030404
6413501
7165610
oct100715
950521
1033229
1122a69
1217291
1312181
14c177
159ca4
hex81cd

33229 has 8 divisors (see below), whose sum is σ = 39168. Its totient is φ = 27600.

The previous prime is 33223. The next prime is 33247. The reversal of 33229 is 92233.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33229 - 29 = 32717 is a prime.

It is a super-2 number, since 2×332292 = 2208332882, which contains 22 as substring.

It is a d-powerful number, because it can be written as 34 + 35 + 27 + 215 + 9 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33223) 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 7 ways as a sum of consecutive naturals, for example, 279 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (4896).

233229 is an apocalyptic number.

It is an amenable number.

33229 is a deficient number, since it is larger than the sum of its proper divisors (5939).

33229 is a wasteful number, since it uses less digits than its factorization.

33229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its digits is 324, while the sum is 19.

The square root of 33229 is about 182.2882333010. The cubic root of 33229 is about 32.1493668179.

It can be divided in two parts, 332 and 29, that added together give a square (361 = 192).

The spelling of 33229 in words is "thirty-three thousand, two hundred twenty-nine".

Divisors: 1 7 47 101 329 707 4747 33229