Base | Representation |
---|---|
bin | 11011110010110… |
… | …11000011100000 |
3 | 121020201121001020 |
4 | 31321123003200 |
5 | 434142004312 |
6 | 35045205440 |
7 | 5530541346 |
oct | 1571330340 |
9 | 536647036 |
10 | 233156832 |
11 | 10a67a1a7 |
12 | 66100880 |
13 | 393c612c |
14 | 22d73996 |
15 | 1570878c |
hex | de5b0e0 |
233156832 has 96 divisors (see below), whose sum is σ = 644311584. Its totient is φ = 73728000.
The previous prime is 233156821. The next prime is 233156843. The reversal of 233156832 is 238651332.
233156832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (233156821) and next prime (233156843).
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 233156793 and 233156802.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144832 + ... + 146432.
It is an arithmetic number, because the mean of its divisors is an integer number (6711579).
Almost surely, 2233156832 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233156832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322155792).
233156832 is an abundant number, since it is smaller than the sum of its proper divisors (411154752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233156832 is a wasteful number, since it uses less digits than its factorization.
233156832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1692 (or 1684 counting only the distinct ones).
The product of its digits is 25920, while the sum is 33.
The square root of 233156832 is about 15269.4738612697. The cubic root of 233156832 is about 615.4829810324.
The spelling of 233156832 in words is "two hundred thirty-three million, one hundred fifty-six thousand, eight hundred thirty-two".
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