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2276000 = 2553569
BaseRepresentation
bin1000101011101010100000
311021122002022
420223222200
51040313000
6120441012
725226366
oct10535240
94248068
102276000
111314aa1
12919168
13618c5c
14433636
152ee585
hex22baa0

2276000 has 48 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 908800.

The previous prime is 2275993. The next prime is 2276041. The reversal of 2276000 is 6722.

It can be written as a sum of positive squares in 4 ways, for example, as 327184 + 1948816 = 572^2 + 1396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2276000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3716 + ... + 4284.

22276000 is an apocalyptic number.

2276000 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 2276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

2276000 is an abundant number, since it is smaller than the sum of its proper divisors (3325960).

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

2276000 is an equidigital number, since it uses as much as digits as its factorization.

2276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2276000 is about 1508.6417732517. The cubic root of 2276000 is about 131.5398733099.

The spelling of 2276000 in words is "two million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 569 800 1000 1138 2000 2276 2845 4000 4552 5690 9104 11380 14225 18208 22760 28450 45520 56900 71125 91040 113800 142250 227600 284500 455200 569000 1138000 2276000