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22016 = 2943
BaseRepresentation
bin101011000000000
31010012102
411120000
51201031
6245532
7121121
oct53000
933172
1022016
11155a5
12108a8
13a037
148048
1567cb
hex5600

22016 has 20 divisors (see below), whose sum is σ = 45012. Its totient is φ = 10752.

The previous prime is 22013. The next prime is 22027. The reversal of 22016 is 61022.

Adding to 22016 its reverse (61022), we get a palindrome (83038).

22016 = T8 + T9 + ... + T50.

22016 is nontrivially palindromic in base 7.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 21988 and 22006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 491 + ... + 533.

222016 is an apocalyptic number.

22016 is the 86-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506).

22016 is an abundant number, since it is smaller than the sum of its proper divisors (22996).

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

22016 is an frugal number, since it uses more digits than its factorization.

22016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 22016 is about 148.3778959279. The cubic root of 22016 is about 28.0271844831.

The spelling of 22016 in words is "twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 5504 11008 22016