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2288790 = 233572173
BaseRepresentation
bin1000101110110010010110
311022021122000
420232302112
51041220130
6121020130
725311600
oct10566226
94267560
102288790
111323669
12924646
13621a1a
14438170
15303260
hex22ec96

2288790 has 96 divisors (see below), whose sum is σ = 7140960. Its totient is φ = 520128.

The previous prime is 2288773. The next prime is 2288801. The reversal of 2288790 is 978822.

2288790 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 47 ways as a sum of consecutive naturals, for example, 13144 + ... + 13316.

It is an arithmetic number, because the mean of its divisors is an integer number (74385).

22288790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570480).

2288790 is an abundant number, since it is smaller than the sum of its proper divisors (4852170).

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

2288790 is a wasteful number, since it uses less digits than its factorization.

2288790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2288790 is about 1512.8747469635. The cubic root of 2288790 is about 131.7858096559.

The spelling of 2288790 in words is "two million, two hundred eighty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 173 189 210 245 270 294 315 346 378 441 490 519 630 735 865 882 945 1038 1211 1323 1470 1557 1730 1890 2205 2422 2595 2646 3114 3633 4410 4671 5190 6055 6615 7266 7785 8477 9342 10899 12110 13230 15570 16954 18165 21798 23355 25431 32697 36330 42385 46710 50862 54495 65394 76293 84770 108990 127155 152586 163485 228879 254310 326970 381465 457758 762930 1144395 2288790