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2216564 = 227243263
BaseRepresentation
bin1000011101001001110100
311011121112222
420131021310
51031412224
6115301512
724561200
oct10351164
94147488
102216564
111284379
128aa898
135c7b9c
14419b00
152dbb5e
hex21d274

2216564 has 36 divisors (see below), whose sum is σ = 4634784. Its totient is φ = 924336.

The previous prime is 2216563. The next prime is 2216569. The reversal of 2216564 is 4656122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8297 + ... + 8559.

It is an arithmetic number, because the mean of its divisors is an integer number (128744).

22216564 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 2216564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317392).

2216564 is an abundant number, since it is smaller than the sum of its proper divisors (2418220).

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

2216564 is a wasteful number, since it uses less digits than its factorization.

2216564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 2216564 is about 1488.8129499705. The cubic root of 2216564 is about 130.3847379481.

The spelling of 2216564 in words is "two million, two hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 263 301 526 602 1052 1204 1841 2107 3682 4214 7364 8428 11309 12887 22618 25774 45236 51548 79163 158326 316652 554141 1108282 2216564