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2223104 = 21013167
BaseRepresentation
bin1000011110110000000000
311011221112012
420132300000
51032114404
6115352052
724616232
oct10366000
94157465
102223104
111289284
128b2628
135cab60
1441c252
152dda6e
hex21ec00

2223104 has 44 divisors (see below), whose sum is σ = 4814544. Its totient is φ = 1019904.

The previous prime is 2223101. The next prime is 2223113. The reversal of 2223104 is 4013222.

It is not an unprimeable number, because it can be changed into a prime (2223101) 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 3 ways as a sum of consecutive naturals, for example, 13229 + ... + 13395.

22223104 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 2223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407272).

2223104 is an abundant number, since it is smaller than the sum of its proper divisors (2591440).

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

2223104 is a wasteful number, since it uses less digits than its factorization.

2223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2223104 is about 1491.0077129244. The cubic root of 2223104 is about 130.5128459730.

Adding to 2223104 its reverse (4013222), we get a palindrome (6236326).

The spelling of 2223104 in words is "two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 167 208 256 334 416 512 668 832 1024 1336 1664 2171 2672 3328 4342 5344 6656 8684 10688 13312 17368 21376 34736 42752 69472 85504 138944 171008 277888 555776 1111552 2223104