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22416 = 243467
BaseRepresentation
bin101011110010000
31010202020
411132100
51204131
6251440
7122232
oct53620
933666
1022416
1115929
1210b80
13a284
148252
156996
hex5790

22416 has 20 divisors (see below), whose sum is σ = 58032. Its totient is φ = 7456.

The previous prime is 22409. The next prime is 22433. The reversal of 22416 is 61422.

22416 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 22395 and 22404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186 + ... + 281.

222416 is an apocalyptic number.

It is an amenable number.

22416 is an abundant number, since it is smaller than the sum of its proper divisors (35616).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016).

22416 is a wasteful number, since it uses less digits than its factorization.

22416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 22416 is about 149.7197381777. The cubic root of 22416 is about 28.1959050439.

Adding to 22416 its reverse (61422), we get a palindrome (83838).

The spelling of 22416 in words is "twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 467 934 1401 1868 2802 3736 5604 7472 11208 22416