Base | Representation |
---|---|
bin | 101100010000… |
… | …0000110100000 |
3 | 1121122200122012 |
4 | 1120200012200 |
5 | 21414401120 |
6 | 2145132052 |
7 | 401124644 |
oct | 130400640 |
9 | 47580565 |
10 | 23200160 |
11 | 12106695 |
12 | 792a028 |
13 | 4a63c09 |
14 | 311cc24 |
15 | 20841c5 |
hex | 16201a0 |
23200160 has 48 divisors (see below), whose sum is σ = 55502496. Its totient is φ = 9163008.
The previous prime is 23200139. The next prime is 23200201. The reversal of 23200160 is 6100232.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12407 + ... + 14153.
It is an arithmetic number, because the mean of its divisors is an integer number (1156302).
Almost surely, 223200160 is an apocalyptic number.
23200160 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 23200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27751248).
23200160 is an abundant number, since it is smaller than the sum of its proper divisors (32302336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23200160 is a wasteful number, since it uses less digits than its factorization.
23200160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1845 (or 1837 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 23200160 is about 4816.6544405843. The cubic root of 23200160 is about 285.2092850790.
Adding to 23200160 its product of nonzero digits (72), we get a palindrome (23200232).
Adding to 23200160 its reverse (6100232), we get a palindrome (29300392).
The spelling of 23200160 in words is "twenty-three million, two hundred thousand, one hundred sixty".
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