Base | Representation |
---|---|
bin | 101011001000… |
… | …0110011100100 |
3 | 1120112212111200 |
4 | 1112100303210 |
5 | 21242110340 |
6 | 2124402500 |
7 | 363131520 |
oct | 126206344 |
9 | 46485450 |
10 | 22613220 |
11 | 11845713 |
12 | 76a6430 |
13 | 48b9a06 |
14 | 3008d80 |
15 | 1eba330 |
hex | 1590ce4 |
22613220 has 144 divisors (see below), whose sum is σ = 79567488. Its totient is φ = 5091840.
The previous prime is 22613203. The next prime is 22613299. The reversal of 22613220 is 2231622.
It is a super-3 number, since 3×226132203 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22613193 and 22613202.
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 47 ways as a sum of consecutive naturals, for example, 164992 + ... + 165128.
It is an arithmetic number, because the mean of its divisors is an integer number (552552).
Almost surely, 222613220 is an apocalyptic number.
22613220 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 22613220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39783744).
22613220 is an abundant number, since it is smaller than the sum of its proper divisors (56954268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22613220 is a wasteful number, since it uses less digits than its factorization.
22613220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290 (or 285 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 22613220 is about 4755.3359502773. The cubic root of 22613220 is about 282.7835459405.
Adding to 22613220 its reverse (2231622), we get a palindrome (24844842).
The spelling of 22613220 in words is "twenty-two million, six hundred thirteen thousand, two hundred twenty".
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