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BaseRepresentation
bin1000100000000000000000
311012012112211
420200000000
51032300344
6115431504
724640165
oct10400000
94165484
102228224
111292109
128b5594
1360029b
1442006c
152e0334
hex220000

2228224 has 36 divisors (see below), whose sum is σ = 4718574. Its totient is φ = 1048576.

The previous prime is 2228221. The next prime is 2228243. The reversal of 2228224 is 4228222.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1638400 + 589824 = 1280^2 + 768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=17, B=2.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 213 + 214 + 215 + 84 + 216 + 221 + 46 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2228195 and 2228204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 2228224 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131064 + ... + 131080.

22228224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359287).

2228224 is an abundant number, since it is smaller than the sum of its proper divisors (2490350).

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

2228224 is an frugal number, since it uses more digits than its factorization.

2228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 19 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 2228224 is about 1492.7236850804. The cubic root of 2228224 is about 130.6129632614.

The spelling of 2228224 in words is "two million, two hundred twenty-eight thousand, two hundred twenty-four".