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33228033 = 359227827
BaseRepresentation
bin111111011000…
…0010100000001
32022112011021220
41332300110001
532001244113
63144105253
7552301506
oct176602401
968464256
1033228033
1117835793
12b165229
136b65377
1445ad4ad
152db5523
hex1fb0501

33228033 has 16 divisors (see below), whose sum is σ = 45308160. Its totient is φ = 21654416.

The previous prime is 33228011. The next prime is 33228037. The reversal of 33228033 is 33082233.

It is not a de Polignac number, because 33228033 - 29 = 33227521 is a prime.

It is a super-2 number, since 2×332280332 = 2208204354098178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33227994 and 33228012.

It is not an unprimeable number, because it can be changed into a prime (33228037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39766 + ... + 40592.

It is an arithmetic number, because the mean of its divisors is an integer number (2831760).

Almost surely, 233228033 is an apocalyptic number.

It is an amenable number.

33228033 is a deficient number, since it is larger than the sum of its proper divisors (12080127).

33228033 is a wasteful number, since it uses less digits than its factorization.

33228033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 33228033 is about 5764.3762021575. The cubic root of 33228033 is about 321.4905495442.

The spelling of 33228033 in words is "thirty-three million, two hundred twenty-eight thousand, thirty-three".

Divisors: 1 3 59 177 227 681 827 2481 13393 40179 48793 146379 187729 563187 11076011 33228033