Search a number
-
+
33808212 = 2233714409
BaseRepresentation
bin1000000011110…
…1111101010100
32100121122011000
42000331331110
532123330322
63204343300
7560236134
oct200757524
970548130
1033808212
11180a1679
12b3a4b30
137009479
1446c0ac4
152e7c3ac
hex203df54

33808212 has 48 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 11108160.

The previous prime is 33808199. The next prime is 33808217. The reversal of 33808212 is 21280833.

33808212 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 2×338082122 = 2285990397273888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33808217) 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 15 ways as a sum of consecutive naturals, for example, 5464 + ... + 9872.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 233808212 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 33808212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

33808212 is an abundant number, since it is smaller than the sum of its proper divisors (55097388).

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

33808212 is a wasteful number, since it uses less digits than its factorization.

33808212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 33808212 is about 5814.4829520775. The cubic root of 33808212 is about 323.3508952330.

The spelling of 33808212 in words is "thirty-three million, eight hundred eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 4409 7668 8818 13227 17636 26454 39681 52908 79362 119043 158724 238086 313039 476172 626078 939117 1252156 1878234 2817351 3756468 5634702 8452053 11269404 16904106 33808212