Base | Representation |
---|---|
bin | 11011101010000… |
… | …01001100010000 |
3 | 121011112221100112 |
4 | 31311001030100 |
5 | 433343033240 |
6 | 35004340452 |
7 | 5514662414 |
oct | 1565011420 |
9 | 534487315 |
10 | 232002320 |
11 | 109a60860 |
12 | 65844728 |
13 | 390b07a4 |
14 | 22b52d44 |
15 | 1557b665 |
hex | dd41310 |
232002320 has 80 divisors (see below), whose sum is σ = 608800320. Its totient is φ = 81446400.
The previous prime is 232002317. The next prime is 232002343. The reversal of 232002320 is 23200232.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 232002295 and 232002304.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 20975 + ... + 30065.
It is an arithmetic number, because the mean of its divisors is an integer number (7610004).
Almost surely, 2232002320 is an apocalyptic number.
232002320 is a gapful number since it is divisible by the number (20) 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 232002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304400160).
232002320 is an abundant number, since it is smaller than the sum of its proper divisors (376798000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232002320 is a wasteful number, since it uses less digits than its factorization.
232002320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9144 (or 9138 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 232002320 is about 15231.6223692685. The cubic root of 232002320 is about 614.4654133416.
Adding to 232002320 its reverse (23200232), we get a palindrome (255202552).
The spelling of 232002320 in words is "two hundred thirty-two million, two thousand, three hundred twenty".
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