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2221893 = 32298513
BaseRepresentation
bin1000011110011101000101
311011212212100
420132131011
51032100033
6115342313
724612552
oct10363505
94155770
102221893
111288383
128b1999
135ca43b
1441ba29
152dd513
hex21e745

2221893 has 12 divisors (see below), whose sum is σ = 3320460. Its totient is φ = 1430016.

The previous prime is 2221889. The next prime is 2221907. The reversal of 2221893 is 3981222.

It is a happy number.

2221893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1790244 + 431649 = 1338^2 + 657^2 .

It is not a de Polignac number, because 2221893 - 22 = 2221889 is a prime.

It is a d-powerful number, because it can be written as 26 + 216 + 221 + 1 + 82 + 95 + 33 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220893) 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 11 ways as a sum of consecutive naturals, for example, 3996 + ... + 4517.

It is an arithmetic number, because the mean of its divisors is an integer number (276705).

22221893 is an apocalyptic number.

It is an amenable number.

2221893 is a deficient number, since it is larger than the sum of its proper divisors (1098567).

2221893 is a wasteful number, since it uses less digits than its factorization.

2221893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8545 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2221893 is about 1490.6015564194. The cubic root of 2221893 is about 130.4891434136.

The spelling of 2221893 in words is "two million, two hundred twenty-one thousand, eight hundred ninety-three".

Divisors: 1 3 9 29 87 261 8513 25539 76617 246877 740631 2221893