Base | Representation |
---|---|
bin | 101010100011… |
… | …0010101111000 |
3 | 1112222101010020 |
4 | 1111012111320 |
5 | 21202330331 |
6 | 2114050440 |
7 | 360421350 |
oct | 125062570 |
9 | 45871106 |
10 | 22308216 |
11 | 11657547 |
12 | 7579a20 |
13 | 4810c38 |
14 | 2d69b60 |
15 | 1e59c96 |
hex | 1546578 |
22308216 has 128 divisors (see below), whose sum is σ = 69050880. Its totient is φ = 5861376.
The previous prime is 22308211. The next prime is 22308217. The reversal of 22308216 is 61280322.
It is a super-3 number, since 3×223082163 (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 (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22308211) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208435 + ... + 208541.
It is an arithmetic number, because the mean of its divisors is an integer number (539460).
Almost surely, 222308216 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 22308216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34525440).
22308216 is an abundant number, since it is smaller than the sum of its proper divisors (46742664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22308216 is a wasteful number, since it uses less digits than its factorization.
22308216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 213 (or 209 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 22308216 is about 4723.1574185072. The cubic root of 22308216 is about 281.5064047919.
Adding to 22308216 its reverse (61280322), we get a palindrome (83588538).
The spelling of 22308216 in words is "twenty-two million, three hundred eight thousand, two hundred sixteen".
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