Search a number
-
+
33812268 = 2237402527
BaseRepresentation
bin1000000011111…
…0111100101100
32100121211201020
42000332330230
532123443033
63204414140
7560254020
oct200767454
970554636
1033812268
11180a4726
12b3a7350
13700b279
1446c2380
152e7d6b3
hex203ef2c

33812268 has 24 divisors (see below), whose sum is σ = 90166272. Its totient is φ = 9660624.

The previous prime is 33812263. The next prime is 33812293. The reversal of 33812268 is 86221833.

33812268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338122682 = 2286538934607648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33812263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201180 + ... + 201347.

It is an arithmetic number, because the mean of its divisors is an integer number (3756928).

Almost surely, 233812268 is an apocalyptic number.

It is an amenable number.

33812268 is an abundant number, since it is smaller than the sum of its proper divisors (56354004).

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

33812268 is a wasteful number, since it uses less digits than its factorization.

33812268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402541 (or 402539 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 33812268 is about 5814.8317258542. The cubic root of 33812268 is about 323.3638256100.

The spelling of 33812268 in words is "thirty-three million, eight hundred twelve thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 402527 805054 1207581 1610108 2415162 2817689 4830324 5635378 8453067 11270756 16906134 33812268