Search a number
-
+
22006016 = 28671283
BaseRepresentation
bin101001111110…
…0100100000000
31112102000120122
41103330210000
521113143031
62103355412
7355022324
oct123744400
945360518
1022006016
111147049a
127452b68
134736516
142ccb984
151dea47b
hex14fc900

22006016 has 36 divisors (see below), whose sum is σ = 44616432. Its totient is φ = 10830336.

The previous prime is 22005989. The next prime is 22006037. The reversal of 22006016 is 61060022.

It is a junction number, because it is equal to n+sod(n) for n = 22005985 and 22006003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16511 + ... + 17793.

Almost surely, 222006016 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 22006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308216).

22006016 is an abundant number, since it is smaller than the sum of its proper divisors (22610416).

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

22006016 is an equidigital number, since it uses as much as digits as its factorization.

22006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 22006016 is about 4691.0570237421. The cubic root of 22006016 is about 280.2294717508.

Adding to 22006016 its reverse (61060022), we get a palindrome (83066038).

The spelling of 22006016 in words is "twenty-two million, six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 1283 2144 2566 4288 5132 8576 10264 17152 20528 41056 82112 85961 164224 171922 328448 343844 687688 1375376 2750752 5501504 11003008 22006016