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33212332233 = 34410028793
BaseRepresentation
bin11110111011100110…
…111111100011001001
310011201121212021210000
4132323212333203021
51021004324112413
623131343313213
72254014110643
oct367346774311
9104647767700
1033212332233
11130a354a863
12652a8ab809
133193a60bc2
141870d23893
15ce5b61073
hex7bb9bf8c9

33212332233 has 10 divisors (see below), whose sum is σ = 49613484074. Its totient is φ = 22141554768.

The previous prime is 33212332199. The next prime is 33212332261. The reversal of 33212332233 is 33223321233.

33212332233 is a `hidden beast` number, since 3 + 321 + 2 + 332 + 2 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30400363449 + 2811968784 = 174357^2 + 53028^2 .

It is not a de Polignac number, because 33212332233 - 210 = 33212331209 is a prime.

It is a super-2 number, since 2×332123322332 (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33212332197 and 33212332206.

It is not an unprimeable number, because it can be changed into a prime (33212333233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 205014316 + ... + 205014477.

Almost surely, 233212332233 is an apocalyptic number.

It is an amenable number.

33212332233 is a deficient number, since it is larger than the sum of its proper divisors (16401151841).

33212332233 is an equidigital number, since it uses as much as digits as its factorization.

33212332233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410028805 (or 410028796 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

Adding to 33212332233 its reverse (33223321233), we get a palindrome (66435653466).

The spelling of 33212332233 in words is "thirty-three billion, two hundred twelve million, three hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 410028793 1230086379 3690259137 11070777411 33212332233