Base | Representation |
---|---|
bin | 11011110010100… |
… | …10110110100000 |
3 | 121020122212221210 |
4 | 31321102312200 |
5 | 434134420412 |
6 | 35044350120 |
7 | 5530341366 |
oct | 1571226640 |
9 | 536585853 |
10 | 233123232 |
11 | 10a656a31 |
12 | 660a5340 |
13 | 393b3a54 |
14 | 22d65636 |
15 | 156ed83c |
hex | de52da0 |
233123232 has 48 divisors (see below), whose sum is σ = 616799232. Its totient is φ = 77091840.
The previous prime is 233123221. The next prime is 233123249. The reversal of 233123232 is 232321332.
233123232 is digitally balanced in base 2, because in such base 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 (48).
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 = 233123199 and 233123208.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2632 + ... + 21752.
It is an arithmetic number, because the mean of its divisors is an integer number (12849984).
Almost surely, 2233123232 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 233123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308399616).
233123232 is an abundant number, since it is smaller than the sum of its proper divisors (383676000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233123232 is a wasteful number, since it uses less digits than its factorization.
233123232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19261 (or 19253 counting only the distinct ones).
The product of its digits is 1296, while the sum is 21.
The square root of 233123232 is about 15268.3735872555. The cubic root of 233123232 is about 615.4534140646.
Adding to 233123232 its reverse (232321332), we get a palindrome (465444564).
The spelling of 233123232 in words is "two hundred thirty-three million, one hundred twenty-three thousand, two hundred thirty-two".
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