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233130033 = 3225903337
BaseRepresentation
bin11011110010101…
…00100000110001
3121020200020021200
431321110200301
5434140130113
635044441413
75530400253
oct1571244061
9536606250
10233130033
1110a661054
12660a9269
13393b6b86
1422d67cd3
1515700873
hexde54831

233130033 has 6 divisors (see below), whose sum is σ = 336743394. Its totient is φ = 155420016.

The previous prime is 233130017. The next prime is 233130041. The reversal of 233130033 is 330031332.

233130033 is a `hidden beast` number, since 2 + 331 + 300 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222845184 + 10284849 = 14928^2 + 3207^2 .

It is not a de Polignac number, because 233130033 - 24 = 233130017 is a prime.

It is a super-2 number, since 2×2331300332 = 108699224573162178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233129988 and 233130015.

It is not an unprimeable number, because it can be changed into a prime (233130083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12951660 + ... + 12951677.

It is an arithmetic number, because the mean of its divisors is an integer number (56123899).

Almost surely, 2233130033 is an apocalyptic number.

It is an amenable number.

233130033 is a deficient number, since it is larger than the sum of its proper divisors (103613361).

233130033 is a wasteful number, since it uses less digits than its factorization.

233130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25903343 (or 25903340 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 233130033 is about 15268.5963009047. The cubic root of 233130033 is about 615.4593989650.

Adding to 233130033 its reverse (330031332), we get a palindrome (563161365).

The spelling of 233130033 in words is "two hundred thirty-three million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 9 25903337 77710011 233130033