Base | Representation |
---|---|
bin | 101100010000… |
… | …0001001000000 |
3 | 1121122200212010 |
4 | 1120200021000 |
5 | 21414402240 |
6 | 2145132520 |
7 | 401125263 |
oct | 130401100 |
9 | 47580763 |
10 | 23200320 |
11 | 12106820 |
12 | 792a140 |
13 | 4a64000 |
14 | 311ccda |
15 | 2084280 |
hex | 1620240 |
23200320 has 224 divisors, whose sum is σ = 87050880. Its totient is φ = 5191680.
The previous prime is 23200237. The next prime is 23200321. The reversal of 23200320 is 2300232.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 23200296 and 23200305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23200321) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1784634 + ... + 1784646.
It is an arithmetic number, because the mean of its divisors is an integer number (388620).
Almost surely, 223200320 is an apocalyptic number.
23200320 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 23200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43525440).
23200320 is an abundant number, since it is smaller than the sum of its proper divisors (63850560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23200320 is a wasteful number, since it uses less digits than its factorization.
23200320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 70 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 12.
The square root of 23200320 is about 4816.6710495943. The cubic root of 23200320 is about 285.2099407265.
Adding to 23200320 its reverse (2300232), we get a palindrome (25500552).
The spelling of 23200320 in words is "twenty-three million, two hundred thousand, three hundred twenty".
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