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2281000 = 23532281
BaseRepresentation
bin1000101100111000101000
311021212221111
420230320220
51040443000
6120520104
725250101
oct10547050
94255844
102281000
111318827
12920034
1361b307
144353a8
15300cba
hex22ce28

2281000 has 32 divisors (see below), whose sum is σ = 5339880. Its totient is φ = 912000.

The previous prime is 2280989. The next prime is 2281001. The reversal of 2281000 is 1822.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 1503076 = 882^2 + 1226^2 .

It is a super-2 number, since 2×22810002 = 10405922000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 2140.

22281000 is an apocalyptic number.

2281000 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 2281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669940).

2281000 is an abundant number, since it is smaller than the sum of its proper divisors (3058880).

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

2281000 is a wasteful number, since it uses less digits than its factorization.

2281000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2281000 is about 1510.2979838429. The cubic root of 2281000 is about 131.6361267273.

Adding to 2281000 its reverse (1822), we get a palindrome (2282822).

The spelling of 2281000 in words is "two million, two hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2281 4562 9124 11405 18248 22810 45620 57025 91240 114050 228100 285125 456200 570250 1140500 2281000