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33222133 = 759257313
BaseRepresentation
bin111111010111…
…0110111110101
32022111212012101
41332232313311
532001102013
63144022101
7552245350
oct176566765
968455171
1033222133
111783130a
12b161931
136b62789
1445ab297
152db38dd
hex1faedf5

33222133 has 16 divisors (see below), whose sum is σ = 38885760. Its totient is φ = 27795456.

The previous prime is 33222121. The next prime is 33222157. The reversal of 33222133 is 33122233.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33222133 - 213 = 33213941 is a prime.

It is a super-2 number, since 2×332221332 = 2207420242139378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33222133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105985 + ... + 106297.

It is an arithmetic number, because the mean of its divisors is an integer number (2430360).

Almost surely, 233222133 is an apocalyptic number.

It is an amenable number.

33222133 is a deficient number, since it is larger than the sum of its proper divisors (5663627).

33222133 is a wasteful number, since it uses less digits than its factorization.

33222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its digits is 648, while the sum is 19.

The square root of 33222133 is about 5763.8644154768. The cubic root of 33222133 is about 321.4715203656.

Adding to 33222133 its reverse (33122233), we get a palindrome (66344366).

The spelling of 33222133 in words is "thirty-three million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 59 257 313 413 1799 2191 15163 18467 80441 106141 129269 563087 4746019 33222133