| Base | Representation |
|---|---|
| bin | 11011111000000… |
| … | …01110100000000 |
| 3 | 121022000022000000 |
| 4 | 31330001310000 |
| 5 | 434330333442 |
| 6 | 35112000000 |
| 7 | 5536414620 |
| oct | 1574016400 |
| 9 | 538008000 |
| 10 | 233839872 |
| 11 | 10aaa63a2 |
| 12 | 66390000 |
| 13 | 395a4cb6 |
| 14 | 230b0880 |
| 15 | 157e0d4c |
| hex | df01d00 |
233839872 has 252 divisors, whose sum is σ = 804273120. Its totient is φ = 66438144.
The previous prime is 233839867. The next prime is 233839877. The reversal of 233839872 is 278938332.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (233839867) and next prime (233839877).
It is a tau number, because it is divible by the number of its divisors (252).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233839877) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306279 + ... + 1306457.
It is an arithmetic number, because the mean of its divisors is an integer number (3191560).
Almost surely, 2233839872 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 233839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402136560).
233839872 is an abundant number, since it is smaller than the sum of its proper divisors (570433248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233839872 is an frugal number, since it uses more digits than its factorization.
233839872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 220 (or 191 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 233839872 is about 15291.8236976497. The cubic root of 233839872 is about 616.0834204223.
The spelling of 233839872 in words is "two hundred thirty-three million, eight hundred thirty-nine thousand, eight hundred seventy-two".
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