Base | Representation |
---|---|
bin | 101001111101… |
… | …1110010000000 |
3 | 1112101212012010 |
4 | 1103323302000 |
5 | 21113042231 |
6 | 2103332520 |
7 | 355010103 |
oct | 123736200 |
9 | 45355163 |
10 | 22002816 |
11 | 11469050 |
12 | 7451140 |
13 | 4734c24 |
14 | 2cca73a |
15 | 1de9546 |
hex | 14fbc80 |
22002816 has 64 divisors (see below), whose sum is σ = 63770400. Its totient is φ = 6666240.
The previous prime is 22002809. The next prime is 22002823. The reversal of 22002816 is 61820022.
It is an interprime number because it is at equal distance from previous prime (22002809) and next prime (22002823).
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 22002792 and 22002801.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1620 + ... + 6828.
Almost surely, 222002816 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 22002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31885200).
22002816 is an abundant number, since it is smaller than the sum of its proper divisors (41767584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22002816 is a wasteful number, since it uses less digits than its factorization.
22002816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5237 (or 5225 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 22002816 is about 4690.7159368267. The cubic root of 22002816 is about 280.2158879233.
Adding to 22002816 its reverse (61820022), we get a palindrome (83822838).
The spelling of 22002816 in words is "twenty-two million, two thousand, eight hundred sixteen".
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