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2216964 = 223239773
BaseRepresentation
bin1000011101010000000100
311011122002210
420131100010
51031420324
6115303420
724562311
oct10352004
94148083
102216964
111284702
128aab70
135c8119
14419d08
152dbd29
hex21d404

2216964 has 24 divisors (see below), whose sum is σ = 5201280. Its totient is φ = 734944.

The previous prime is 2216957. The next prime is 2216969. The reversal of 2216964 is 4696122.

2216964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 29 + 1 + 64 + 96 + 68 + 46 .

It is not an unprimeable number, because it can be changed into a prime (2216969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2482 + ... + 3254.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

22216964 is an apocalyptic number.

It is an amenable number.

2216964 is an abundant number, since it is smaller than the sum of its proper divisors (2984316).

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

2216964 is a wasteful number, since it uses less digits than its factorization.

2216964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2216964 is about 1488.9472791204. The cubic root of 2216964 is about 130.3925805306.

The spelling of 2216964 in words is "two million, two hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 239 478 717 773 956 1434 1546 2319 2868 3092 4638 9276 184747 369494 554241 738988 1108482 2216964