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2213085 = 35723011
BaseRepresentation
bin1000011100010011011101
311011102210010
420130103131
51031304320
6115233433
724545100
oct10342335
94142703
102213085
1112817a6
128a8879
135c6424
14418737
152daae0
hex21c4dd

2213085 has 24 divisors (see below), whose sum is σ = 4120416. Its totient is φ = 1011360.

The previous prime is 2213069. The next prime is 2213093. The reversal of 2213085 is 5803122.

2213085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2213085 - 24 = 2213069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 771 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (171684).

22213085 is an apocalyptic number.

It is an amenable number.

2213085 is a deficient number, since it is larger than the sum of its proper divisors (1907331).

2213085 is a wasteful number, since it uses less digits than its factorization.

2213085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2213085 is about 1487.6441106663. The cubic root of 2213085 is about 130.3164872636.

The spelling of 2213085 in words is "two million, two hundred thirteen thousand, eighty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 3011 9033 15055 21077 45165 63231 105385 147539 316155 442617 737695 2213085