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2289000 = 233537109
BaseRepresentation
bin1000101110110101101000
311022021220210
420232311220
51041222000
6121021120
725312320
oct10566550
94267823
102289000
11132383a
129247a0
13621b4c
14438280
15303350
hex22ed68

2289000 has 128 divisors (see below), whose sum is σ = 8236800. Its totient is φ = 518400.

The previous prime is 2288953. The next prime is 2289013. The reversal of 2289000 is 9822.

2289000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 20946 + ... + 21054.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

22289000 is an apocalyptic number.

2289000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118400).

2289000 is an abundant number, since it is smaller than the sum of its proper divisors (5947800).

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

2289000 is a wasteful number, since it uses less digits than its factorization.

2289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2289000 is about 1512.9441496632. The cubic root of 2289000 is about 131.7898400495.

The spelling of 2289000 in words is "two million, two hundred eighty-nine thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 109 120 125 140 150 168 175 200 210 218 250 280 300 327 350 375 420 436 500 525 545 600 654 700 750 763 840 872 875 1000 1050 1090 1308 1400 1500 1526 1635 1750 2100 2180 2289 2616 2625 2725 3000 3052 3270 3500 3815 4200 4360 4578 5250 5450 6104 6540 7000 7630 8175 9156 10500 10900 11445 13080 13625 15260 16350 18312 19075 21000 21800 22890 27250 30520 32700 38150 40875 45780 54500 57225 65400 76300 81750 91560 95375 109000 114450 152600 163500 190750 228900 286125 327000 381500 457800 572250 763000 1144500 2289000