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2219248 = 241741199
BaseRepresentation
bin1000011101110011110000
311011202020101
420131303300
51032003443
6115322144
724602053
oct10356360
94152211
102219248
111286399
128b0354
135c9185
1441aa9a
152dc84d
hex21dcf0

2219248 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 1013760.

The previous prime is 2219221. The next prime is 2219251. The reversal of 2219248 is 8429122.

2219248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 11053 + ... + 11251.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22219248 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 2219248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2219248 is an abundant number, since it is smaller than the sum of its proper divisors (2467952).

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

2219248 is a wasteful number, since it uses less digits than its factorization.

2219248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 2219248 is about 1489.7140665242. The cubic root of 2219248 is about 130.4373436148.

The spelling of 2219248 in words is "two million, two hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 199 272 328 398 656 697 796 1394 1592 2788 3184 3383 5576 6766 8159 11152 13532 16318 27064 32636 54128 65272 130544 138703 277406 554812 1109624 2219248