Search a number
-
+
2286000 = 243253127
BaseRepresentation
bin1000101110000110110000
311022010210200
420232012300
51041123000
6120555200
725300503
oct10560660
94263720
102286000
111321562
12922b00
13620682
1443713a
15302500
hex22e1b0

2286000 has 120 divisors (see below), whose sum is σ = 8047104. Its totient is φ = 604800.

The previous prime is 2285981. The next prime is 2286013. The reversal of 2286000 is 6822.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17937 + ... + 18063.

22286000 is an apocalyptic number.

2286000 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 2286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023552).

2286000 is an abundant number, since it is smaller than the sum of its proper divisors (5761104).

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

2286000 is a wasteful number, since it uses less digits than its factorization.

2286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2286000 is about 1511.9523802025. The cubic root of 2286000 is about 131.7322395876.

The spelling of 2286000 in words is "two million, two hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 127 144 150 180 200 225 240 250 254 300 360 375 381 400 450 500 508 600 635 720 750 762 900 1000 1016 1125 1143 1200 1270 1500 1524 1800 1905 2000 2032 2250 2286 2540 3000 3048 3175 3600 3810 4500 4572 5080 5715 6000 6096 6350 7620 9000 9144 9525 10160 11430 12700 15240 15875 18000 18288 19050 22860 25400 28575 30480 31750 38100 45720 47625 50800 57150 63500 76200 91440 95250 114300 127000 142875 152400 190500 228600 254000 285750 381000 457200 571500 762000 1143000 2286000