Base | Representation |
---|---|
bin | 11011110000010… |
… | …00111000000000 |
3 | 121020002111022021 |
4 | 31320020320000 |
5 | 434100221344 |
6 | 35034051224 |
7 | 5524640110 |
oct | 1570107000 |
9 | 536074267 |
10 | 232820224 |
11 | 10a46a30a |
12 | 65b79b14 |
13 | 39308b60 |
14 | 22cc7040 |
15 | 1568db84 |
hex | de08e00 |
232820224 has 160 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 86925312.
The previous prime is 232820221. The next prime is 232820233. The reversal of 232820224 is 422028232.
It is a happy number.
232820224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232820221) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885117 + ... + 885379.
It is an arithmetic number, because the mean of its divisors is an integer number (3781008).
Almost surely, 2232820224 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 232820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).
232820224 is an abundant number, since it is smaller than the sum of its proper divisors (372141056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232820224 is a wasteful number, since it uses less digits than its factorization.
232820224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 320 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 25.
The square root of 232820224 is about 15258.4476274620. The cubic root of 232820224 is about 615.1866479110.
Adding to 232820224 its reverse (422028232), we get a palindrome (654848456).
The spelling of 232820224 in words is "two hundred thirty-two million, eight hundred twenty thousand, two hundred twenty-four".
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