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233030133 = 3272528413
BaseRepresentation
bin11011110001111…
…00000111110101
3121020111011020200
431320330013311
5434123431013
635042351113
75526503100
oct1570740765
9536434220
10233030133
1110a5a2a96
126605b499
133938056b
1422d3d737
15156d0e73
hexde3c1f5

233030133 has 18 divisors (see below), whose sum is σ = 391554774. Its totient is φ = 133159824.

The previous prime is 233030113. The next prime is 233030143. The reversal of 233030133 is 331030332.

233030133 is a `hidden beast` number, since 2 + 330 + 301 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214856964 + 18173169 = 14658^2 + 4263^2 .

It is not a de Polignac number, because 233030133 - 210 = 233029109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233030113) 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 17 ways as a sum of consecutive naturals, for example, 263766 + ... + 264647.

It is an arithmetic number, because the mean of its divisors is an integer number (21753043).

Almost surely, 2233030133 is an apocalyptic number.

It is an amenable number.

233030133 is a deficient number, since it is larger than the sum of its proper divisors (158524641).

233030133 is a wasteful number, since it uses less digits than its factorization.

233030133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528433 (or 528423 counting only the distinct ones).

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

The square root of 233030133 is about 15265.3245297963. The cubic root of 233030133 is about 615.3714749602.

Adding to 233030133 its reverse (331030332), we get a palindrome (564060465).

The spelling of 233030133 in words is "two hundred thirty-three million, thirty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 528413 1585239 3698891 4755717 11096673 25892237 33290019 77676711 233030133