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2233000 = 235371129
BaseRepresentation
bin1000100001001010101000
311012110002201
420201022220
51032424000
6115505544
724660130
oct10411250
94173081
102233000
111295760
128b82b4
13602503
14421ac0
152e196a
hex2212a8

2233000 has 128 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 672000.

The previous prime is 2232991. The next prime is 2233003. The reversal of 2233000 is 3322.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76986 + ... + 77014.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

22233000 is an apocalyptic number.

2233000 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 2233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2233000 is an abundant number, since it is smaller than the sum of its proper divisors (4506200).

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

2233000 is a wasteful number, since it uses less digits than its factorization.

2233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2233000 is about 1494.3225890015. The cubic root of 2233000 is about 130.7062157576.

Adding to 2233000 its reverse (3322), we get a palindrome (2236322).

It can be divided in two parts, 223 and 3000, that added together give a palindrome (3223).

The spelling of 2233000 in words is "two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 29 35 40 44 50 55 56 58 70 77 88 100 110 116 125 140 145 154 175 200 203 220 232 250 275 280 290 308 319 350 385 406 440 500 550 580 616 638 700 725 770 812 875 1000 1015 1100 1160 1276 1375 1400 1450 1540 1595 1624 1750 1925 2030 2200 2233 2552 2750 2900 3080 3190 3500 3625 3850 4060 4466 5075 5500 5800 6380 7000 7250 7700 7975 8120 8932 9625 10150 11000 11165 12760 14500 15400 15950 17864 19250 20300 22330 25375 29000 31900 38500 39875 40600 44660 50750 55825 63800 77000 79750 89320 101500 111650 159500 203000 223300 279125 319000 446600 558250 1116500 2233000