Base | Representation |
---|---|
bin | 101010001011… |
… | …0101111000000 |
3 | 1112121110122000 |
4 | 1110112233000 |
5 | 21130110331 |
6 | 2105544000 |
7 | 355650006 |
oct | 124265700 |
9 | 45543560 |
10 | 22113216 |
11 | 11533a94 |
12 | 74a5000 |
13 | 4773258 |
14 | 2d18a76 |
15 | 1e1c0e6 |
hex | 1516bc0 |
22113216 has 112 divisors (see below), whose sum is σ = 66324480. Its totient is φ = 7223040.
The previous prime is 22113191. The next prime is 22113229. The reversal of 22113216 is 61231122.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 115681 + ... + 115871.
Almost surely, 222113216 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 22113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162240).
22113216 is an abundant number, since it is smaller than the sum of its proper divisors (44211264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22113216 is a wasteful number, since it uses less digits than its factorization.
22113216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 263 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 22113216 is about 4702.4691386547. The cubic root of 22113216 is about 280.6837710219.
Adding to 22113216 its reverse (61231122), we get a palindrome (83344338).
The spelling of 22113216 in words is "twenty-two million, one hundred thirteen thousand, two hundred sixteen".
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