Base | Representation |
---|---|
bin | 101010110110… |
… | …0001010010000 |
3 | 1120021020121102 |
4 | 1111230022100 |
5 | 21222304440 |
6 | 2121243532 |
7 | 361635101 |
oct | 125541220 |
9 | 46236542 |
10 | 22463120 |
11 | 11752969 |
12 | 76335a8 |
13 | 48665b4 |
14 | 2daa3a8 |
15 | 1e8ab15 |
hex | 156c290 |
22463120 has 80 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 8312832.
The previous prime is 22463113. The next prime is 22463123. The reversal of 22463120 is 2136422.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 22463092 and 22463101.
It is not an unprimeable number, because it can be changed into a prime (22463123) 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, 112781 + ... + 112979.
It is an arithmetic number, because the mean of its divisors is an integer number (703080).
Almost surely, 222463120 is an apocalyptic number.
22463120 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 22463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).
22463120 is an abundant number, since it is smaller than the sum of its proper divisors (33783280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22463120 is a wasteful number, since it uses less digits than its factorization.
22463120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 312 (or 306 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 22463120 is about 4739.5274026004. The cubic root of 22463120 is about 282.1564780508.
Adding to 22463120 its reverse (2136422), we get a palindrome (24599542).
The spelling of 22463120 in words is "twenty-two million, four hundred sixty-three thousand, one hundred twenty".
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