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2216565568 = 26722379389
BaseRepresentation
bin1000010000011110…
…0001101101000000
312201110212012100001
42010013201231000
514014420044233
61003540405344
7105633332200
oct20407415500
95643765301
102216565568
11a38214578
1251a3a6854
132942b1779
14170550400
15ce8e027d
hex841e1b40

2216565568 has 168 divisors, whose sum is σ = 5420563200. Its totient is φ = 894845952.

The previous prime is 2216565557. The next prime is 2216565569. The reversal of 2216565568 is 8655656122.

It is a Harshad number since it is a multiple of its sum of digits (46).

Its product of digits (864000) is a multiple of the sum of its prime divisors (500).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216565569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5697918 + ... + 5698306.

Almost surely, 22216565568 is an apocalyptic number.

2216565568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216565568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710281600).

2216565568 is an abundant number, since it is smaller than the sum of its proper divisors (3203997632).

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

2216565568 is a wasteful number, since it uses less digits than its factorization.

2216565568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 500 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The square root of 2216565568 is about 47080.4159709746. The cubic root of 2216565568 is about 1303.8476869284.

The spelling of 2216565568 in words is "two billion, two hundred sixteen million, five hundred sixty-five thousand, five hundred sixty-eight".