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66034233 = 3237198301
BaseRepresentation
bin1111101111100…
…1101000111001
311121020212221100
43323321220321
5113401043413
610315202013
71431165426
oct373715071
9147225840
1066034233
1134302551
121a146309
13108b0715
148aacd4d
155be5a73
hex3ef9a39

66034233 has 12 divisors (see below), whose sum is σ = 97961188. Its totient is φ = 42832800.

The previous prime is 66034229. The next prime is 66034259. The reversal of 66034233 is 33243066.

It can be written as a sum of positive squares in 2 ways, for example, as 25431849 + 40602384 = 5043^2 + 6372^2 .

It is not a de Polignac number, because 66034233 - 22 = 66034229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66034197 and 66034206.

It is not an unprimeable number, because it can be changed into a prime (66034223) 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 11 ways as a sum of consecutive naturals, for example, 98818 + ... + 99483.

Almost surely, 266034233 is an apocalyptic number.

It is an amenable number.

66034233 is a deficient number, since it is larger than the sum of its proper divisors (31926955).

66034233 is a wasteful number, since it uses less digits than its factorization.

66034233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198344 (or 198341 counting only the distinct ones).

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

The square root of 66034233 is about 8126.1450270100. The cubic root of 66034233 is about 404.1938605762.

Adding to 66034233 its reverse (33243066), we get a palindrome (99277299).

The spelling of 66034233 in words is "sixty-six million, thirty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 37 111 333 198301 594903 1784709 7337137 22011411 66034233