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33133212234 = 23217315496869
BaseRepresentation
bin11110110110111001…
…001011001001001010
310011112002222120112200
4132312321023021022
51020324100242414
623115435421030
72252033441253
oct366671131112
9104462876480
1033133212234
111306291a831
1265082b4776
13318054b235
141864609b2a
15cddc33109
hex7b6e4b24a

33133212234 has 48 divisors (see below), whose sum is σ = 72260721000. Its totient is φ = 10971877248.

The previous prime is 33133212181. The next prime is 33133212241. The reversal of 33133212234 is 43221233133.

33133212234 is a `hidden beast` number, since 3 + 313 + 321 + 2 + 23 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23547823209 + 9585389025 = 153453^2 + 97905^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33133212198 and 33133212207.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4820152 + ... + 4827020.

Almost surely, 233133212234 is an apocalyptic number.

33133212234 is an abundant number, since it is smaller than the sum of its proper divisors (39127508766).

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

33133212234 is a wasteful number, since it uses less digits than its factorization.

33133212234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8599 (or 8596 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 33133212234 its reverse (43221233133), we get a palindrome (76354445367).

The spelling of 33133212234 in words is "thirty-three billion, one hundred thirty-three million, two hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1549 1557 3098 3114 4647 6869 9294 13738 13941 20607 27882 41214 61821 123642 267977 535954 803931 1188337 1607862 2376674 2411793 3565011 4823586 7130022 10640081 10695033 21280162 21390066 31920243 63840486 95760729 191521458 1840734013 3681468026 5522202039 11044404078 16566606117 33133212234