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233145033 = 31122213181
BaseRepresentation
bin11011110010110…
…00001011001001
3121020200222212020
431321120023021
5434141120113
635045035053
75530462062
oct1571301311
9536628766
10233145033
1110a671350
12660b5a89
13393c0954
1422d6d569
1515705023
hexde582c9

233145033 has 16 divisors (see below), whose sum is σ = 339379392. Its totient is φ = 141192000.

The previous prime is 233145019. The next prime is 233145041. The reversal of 233145033 is 330541332.

It is a happy number.

233145033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-233145033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233144994 and 233145012.

It is not an unprimeable number, because it can be changed into a prime (233145013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71703 + ... + 74883.

It is an arithmetic number, because the mean of its divisors is an integer number (21211212).

Almost surely, 2233145033 is an apocalyptic number.

It is an amenable number.

233145033 is a deficient number, since it is larger than the sum of its proper divisors (106234359).

233145033 is a wasteful number, since it uses less digits than its factorization.

233145033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 233145033 is about 15269.0874972933. The cubic root of 233145033 is about 615.4725985985.

Adding to 233145033 its reverse (330541332), we get a palindrome (563686365).

The spelling of 233145033 in words is "two hundred thirty-three million, one hundred forty-five thousand, thirty-three".

Divisors: 1 3 11 33 2221 3181 6663 9543 24431 34991 73293 104973 7065001 21195003 77715011 233145033