Base | Representation |
---|---|
bin | 101010010110… |
… | …0001100100000 |
3 | 1112202221012201 |
4 | 1110230030200 |
5 | 21140413440 |
6 | 2111502544 |
7 | 356464204 |
oct | 124541440 |
9 | 45687181 |
10 | 22201120 |
11 | 11594037 |
12 | 7527a54 |
13 | 47a4276 |
14 | 2d3cb04 |
15 | 1e3819a |
hex | 152c320 |
22201120 has 96 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 8211456.
The previous prime is 22201111. The next prime is 22201121. The reversal of 22201120 is 2110222.
It is a super-3 number, since 3×222011203 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 22201097 and 22201106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22201121) 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, 203626 + ... + 203734.
It is an arithmetic number, because the mean of its divisors is an integer number (589050).
Almost surely, 222201120 is an apocalyptic number.
22201120 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 22201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).
22201120 is an abundant number, since it is smaller than the sum of its proper divisors (34347680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22201120 is a wasteful number, since it uses less digits than its factorization.
22201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210 (or 202 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 22201120 is about 4711.8064476377. The cubic root of 22201120 is about 281.0552020659.
Adding to 22201120 its reverse (2110222), we get a palindrome (24311342).
The spelling of 22201120 in words is "twenty-two million, two hundred one thousand, one hundred twenty".
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