Search a number
-
+
33215 = 571373
BaseRepresentation
bin1000000110111111
31200120012
420012333
52030330
6413435
7165560
oct100677
950505
1033215
1122a56
121727b
1312170
14c167
159c95
hex81bf

33215 has 16 divisors (see below), whose sum is σ = 49728. Its totient is φ = 20736.

The previous prime is 33211. The next prime is 33223. The reversal of 33215 is 51233.

Adding to 33215 its reverse (51233), we get a palindrome (84448).

33215 is nontrivially palindromic in base 9.

It is a cyclic number.

It is not a de Polignac number, because 33215 - 22 = 33211 is a prime.

It is a super-2 number, since 2×332152 = 2206472450, which contains 22 as substring.

33215 is an undulating number in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 33215.

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 33215.

It is not an unprimeable number, because it can be changed into a prime (33211) 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, 419 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (3108).

233215 is an apocalyptic number.

33215 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33215 is a deficient number, since it is larger than the sum of its proper divisors (16513).

33215 is a wasteful number, since it uses less digits than its factorization.

33215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98.

The product of its digits is 90, while the sum is 14.

The square root of 33215 is about 182.2498285322. The cubic root of 33215 is about 32.1448511403.

The spelling of 33215 in words is "thirty-three thousand, two hundred fifteen".

Divisors: 1 5 7 13 35 65 73 91 365 455 511 949 2555 4745 6643 33215