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2221000 = 23532221
BaseRepresentation
bin1000011110001111001000
311011211122021
420132033020
51032033000
6115334224
724610135
oct10361710
94154567
102221000
111287741
128b1374
135c9c02
1441b58c
152dd11a
hex21e3c8

2221000 has 32 divisors (see below), whose sum is σ = 5199480. Its totient is φ = 888000.

The previous prime is 2220979. The next prime is 2221007. The reversal of 2221000 is 1222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 1378276 = 918^2 + 1174^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2221007) 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, 111 + ... + 2110.

22221000 is an apocalyptic number.

2221000 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 2221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599740).

2221000 is an abundant number, since it is smaller than the sum of its proper divisors (2978480).

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

2221000 is a wasteful number, since it uses less digits than its factorization.

2221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2221000 is about 1490.3019828209. The cubic root of 2221000 is about 130.4716594604.

Adding to 2221000 its reverse (1222), we get a palindrome (2222222).

The spelling of 2221000 in words is "two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2221 4442 8884 11105 17768 22210 44420 55525 88840 111050 222100 277625 444200 555250 1110500 2221000