Base | Representation |
---|---|
bin | 110101000001111111001100… |
… | …100001001101011000101100 |
3 | 1010120210212020121002120021100 |
4 | 311001333030201031120230 |
5 | 221032242231311113312 |
6 | 2144013440215203100 |
7 | 100061350110300465 |
oct | 6501771441153054 |
9 | 1116725217076240 |
10 | 233233040332332 |
11 | 68351638992a57 |
12 | 221aa161376490 |
13 | a01aa207786a1 |
14 | 418477a0d7d6c |
15 | 1be6dd75195dc |
hex | d41fcc84d62c |
233233040332332 has 36 divisors (see below), whose sum is σ = 589586353200936. Its totient is φ = 77741042583360.
The previous prime is 233233040332283. The next prime is 233233040332351.
233233040332332 is a `hidden beast` number, since 2 + 3 + 3 + 23 + 304 + 0 + 3 + 323 + 3 + 2 = 666.
233233040332332 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×2332330403323322 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 136815873 + ... + 138510104.
It is an arithmetic number, because the mean of its divisors is an integer number (16377398700026).
Almost surely, 2233233040332332 is an apocalyptic number.
It is an amenable number.
233233040332332 is an abundant number, since it is smaller than the sum of its proper divisors (356353312868604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233233040332332 is a wasteful number, since it uses less digits than its factorization.
233233040332332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275349518 (or 275349513 counting only the distinct ones).
The product of its (nonzero) digits is 419904, while the sum is 36.
The spelling of 233233040332332 in words is "two hundred thirty-three trillion, two hundred thirty-three billion, forty million, three hundred thirty-two thousand, three hundred thirty-two".
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