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2234000 = 24531117
BaseRepresentation
bin1000100001011010010000
311012111110202
420201122100
51032442000
6115514332
724663056
oct10413220
94174422
102234000
11129648a
128b89a8
13602ac2
144221d6
152e1dd5
hex221690

2234000 has 40 divisors (see below), whose sum is σ = 5406648. Its totient is φ = 892800.

The previous prime is 2233999. The next prime is 2234009. The reversal of 2234000 is 4322.

It can be written as a sum of positive squares in 4 ways, for example, as 512656 + 1721344 = 716^2 + 1312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2234009) 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 7 ways as a sum of consecutive naturals, for example, 1442 + ... + 2558.

22234000 is an apocalyptic number.

2234000 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 2234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703324).

2234000 is an abundant number, since it is smaller than the sum of its proper divisors (3172648).

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

2234000 is a wasteful number, since it uses less digits than its factorization.

2234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2234000 is about 1494.6571513227. The cubic root of 2234000 is about 130.7257241483.

Adding to 2234000 its reverse (4322), we get a palindrome (2238322).

The spelling of 2234000 in words is "two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1117 2000 2234 4468 5585 8936 11170 17872 22340 27925 44680 55850 89360 111700 139625 223400 279250 446800 558500 1117000 2234000