| Base | Representation |
|---|---|
| bin | 11011110100000… |
| … | …10111001100000 |
| 3 | 121021000212220200 |
| 4 | 31322002321200 |
| 5 | 434212220112 |
| 6 | 35052505200 |
| 7 | 5532121221 |
| oct | 1572027140 |
| 9 | 537025820 |
| 10 | 233320032 |
| 11 | 10a780880 |
| 12 | 6617b200 |
| 13 | 394524ba |
| 14 | 22db7248 |
| 15 | 1573bcdc |
| hex | de82e60 |
233320032 has 144 divisors (see below), whose sum is σ = 739694592. Its totient is φ = 69154560.
The previous prime is 233320013. The next prime is 233320033. The reversal of 233320032 is 230023332.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 233319987 and 233320014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233320033) 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 23 ways as a sum of consecutive naturals, for example, 148113 + ... + 149679.
It is an arithmetic number, because the mean of its divisors is an integer number (5136768).
Almost surely, 2233320032 is an apocalyptic number.
233320032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).
233320032 is an abundant number, since it is smaller than the sum of its proper divisors (506374560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233320032 is a wasteful number, since it uses less digits than its factorization.
233320032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1641 (or 1630 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 18.
The square root of 233320032 is about 15274.8169219798. The cubic root of 233320032 is about 615.6265516276.
Adding to 233320032 its reverse (230023332), we get a palindrome (463343364).
The spelling of 233320032 in words is "two hundred thirty-three million, three hundred twenty thousand, thirty-two".
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