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22206016 = 26727397
BaseRepresentation
bin101010010110…
…1011001000000
31112210011221001
41110231121000
521141043031
62111541344
7356514400
oct124553100
945704831
1022206016
1111597788
12752a854
1347a6571
142d40800
151e39861
hex152d640

22206016 has 84 divisors (see below), whose sum is σ = 52497228. Its totient is φ = 9289728.

The previous prime is 22205987. The next prime is 22206047. The reversal of 22206016 is 61060222.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 10916416 = 3360^2 + 3304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22205984 and 22206002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228880 + ... + 228976.

It is an arithmetic number, because the mean of its divisors is an integer number (624967).

Almost surely, 222206016 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 22206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248614).

22206016 is an abundant number, since it is smaller than the sum of its proper divisors (30291212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22206016 is an equidigital number, since it uses as much as digits as its factorization.

22206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 22206016 is about 4712.3259649562. The cubic root of 22206016 is about 281.0758608605.

Adding to 22206016 its reverse (61060222), we get a palindrome (83266238).

The spelling of 22206016 in words is "twenty-two million, two hundred six thousand, sixteen".