Base | Representation |
---|---|
bin | 11011110011011… |
… | …01001110000000 |
3 | 121020212101002210 |
4 | 31321231032000 |
5 | 434201344412 |
6 | 35050542120 |
7 | 5531301303 |
oct | 1571551600 |
9 | 536771083 |
10 | 233231232 |
11 | 10a720093 |
12 | 66137940 |
13 | 39420c60 |
14 | 22d92b3a |
15 | 1572083c |
hex | de6d380 |
233231232 has 128 divisors (see below), whose sum is σ = 702576000. Its totient is φ = 67958784.
The previous prime is 233231179. The next prime is 233231263. The reversal of 233231232 is 232132332.
233231232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 233231199 and 233231208.
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, 93619 + ... + 96077.
It is an arithmetic number, because the mean of its divisors is an integer number (5488875).
Almost surely, 2233231232 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 233231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351288000).
233231232 is an abundant number, since it is smaller than the sum of its proper divisors (469344768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233231232 is a wasteful number, since it uses less digits than its factorization.
233231232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2508 (or 2496 counting only the distinct ones).
The product of its digits is 1296, while the sum is 21.
The square root of 233231232 is about 15271.9099002057. The cubic root of 233231232 is about 615.5484406396.
Adding to 233231232 its reverse (232132332), we get a palindrome (465363564).
The spelling of 233231232 in words is "two hundred thirty-three million, two hundred thirty-one thousand, two hundred thirty-two".
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