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33208214 = 21389113127
BaseRepresentation
bin111111010101…
…1011110010110
32022111011002212
41332223132112
532000130324
63143433422
7552156644
oct176533626
968434085
1033208214
1117821906
12b155872
136b59340
1445a6194
152dae70e
hex1fab796

33208214 has 32 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 14902272.

The previous prime is 33208213. The next prime is 33208229. The reversal of 33208214 is 41280233.

It is a super-2 number, since 2×332082142 = 2205570954139592, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33208214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33208213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261419 + ... + 261545.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 233208214 is an apocalyptic number.

33208214 is a deficient number, since it is larger than the sum of its proper divisors (21949546).

33208214 is a wasteful number, since it uses less digits than its factorization.

33208214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 33208214 is about 5762.6568525290. The cubic root of 33208214 is about 321.4266187018.

Adding to 33208214 its reverse (41280233), we get a palindrome (74488447).

The spelling of 33208214 in words is "thirty-three million, two hundred eight thousand, two hundred fourteen".

Divisors: 1 2 13 26 89 113 127 178 226 254 1157 1469 1651 2314 2938 3302 10057 11303 14351 20114 22606 28702 130741 146939 186563 261482 293878 373126 1277239 2554478 16604107 33208214