Base | Representation |
---|---|
bin | 101100011100… |
… | …1000000000000 |
3 | 1121211212112101 |
4 | 1120321000000 |
5 | 21431132034 |
6 | 2151240144 |
7 | 402031165 |
oct | 130710000 |
9 | 47755471 |
10 | 23302144 |
11 | 12176278 |
12 | 7979054 |
13 | 4a9b468 |
14 | 314806c |
15 | 20a4514 |
hex | 1639000 |
23302144 has 26 divisors (see below), whose sum is σ = 46606790. Its totient is φ = 11649024.
The previous prime is 23302141. The next prime is 23302157. The reversal of 23302144 is 44120332.
It can be written as a sum of positive squares in only one way, i.e., 23040000 + 262144 = 4800^2 + 512^2 .
It is not an unprimeable number, because it can be changed into a prime (23302141) by changing a digit.
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 as a sum of consecutive naturals, namely, 1252 + ... + 6940.
Almost surely, 223302144 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 23302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23303395).
23302144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23302144 is an frugal number, since it uses more digits than its factorization.
23302144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5713 (or 5691 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 19.
The square root of 23302144 is about 4827.2294331221. The cubic root of 23302144 is about 285.6265848923.
Adding to 23302144 its reverse (44120332), we get a palindrome (67422476).
The spelling of 23302144 in words is "twenty-three million, three hundred two thousand, one hundred forty-four".
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