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2221200 = 243252617
BaseRepresentation
bin1000011110010010010000
311011211220200
420132102100
51032034300
6115335200
724610542
oct10362220
94154820
102221200
111287903
128b1500
135ca027
1441b692
152dd200
hex21e490

2221200 has 90 divisors (see below), whose sum is σ = 7720674. Its totient is φ = 591360.

The previous prime is 2221187. The next prime is 2221217. The reversal of 2221200 is 21222.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 2214144 = 84^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3292 + ... + 3908.

22221200 is an apocalyptic number.

2221200 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 2221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860337).

2221200 is an abundant number, since it is smaller than the sum of its proper divisors (5499474).

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

2221200 is a wasteful number, since it uses less digits than its factorization.

2221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2221200 is about 1490.3690818049. The cubic root of 2221200 is about 130.4755756466.

Adding to 2221200 its reverse (21222), we get a palindrome (2242422).

The spelling of 2221200 in words is "two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 617 720 900 1200 1234 1800 1851 2468 3085 3600 3702 4936 5553 6170 7404 9255 9872 11106 12340 14808 15425 18510 22212 24680 27765 29616 30850 37020 44424 46275 49360 55530 61700 74040 88848 92550 111060 123400 138825 148080 185100 222120 246800 277650 370200 444240 555300 740400 1110600 2221200