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2241000 = 23335383
BaseRepresentation
bin1000100011000111101000
311012212002000
420203013220
51033203000
6120011000
725022346
oct10430750
94185060
102241000
1112a0773
12900a60
13606048
14424996
152e4000
hex2231e8

2241000 has 128 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 590400.

The previous prime is 2240977. The next prime is 2241011. The reversal of 2241000 is 1422.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26959 + ... + 27041.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

22241000 is an apocalyptic number.

2241000 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 2241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2241000 is an abundant number, since it is smaller than the sum of its proper divisors (5621400).

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

2241000 is a wasteful number, since it uses less digits than its factorization.

2241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2241000 is about 1496.9969939850. The cubic root of 2241000 is about 130.8621201436.

Adding to 2241000 its reverse (1422), we get a palindrome (2242422).

The spelling of 2241000 in words is "two million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 83 90 100 108 120 125 135 150 166 180 200 216 225 249 250 270 300 332 360 375 415 450 498 500 540 600 664 675 747 750 830 900 996 1000 1080 1125 1245 1350 1494 1500 1660 1800 1992 2075 2241 2250 2490 2700 2988 3000 3320 3375 3735 4150 4482 4500 4980 5400 5976 6225 6750 7470 8300 8964 9000 9960 10375 11205 12450 13500 14940 16600 17928 18675 20750 22410 24900 27000 29880 31125 37350 41500 44820 49800 56025 62250 74700 83000 89640 93375 112050 124500 149400 186750 224100 249000 280125 373500 448200 560250 747000 1120500 2241000