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4220 = 225211

4220 has 12 divisors (see below), whose sum is σ = 8904. Its totient is φ = 1680.

The previous prime is 4219. The next prime is 4229. The reversal of 4220 is 224.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4198 and 4207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4220.

It is not an unprimeable number, because it can be changed into a prime (4229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (742).

24220 is an apocalyptic number.

It is an amenable number.

4220 is an abundant number, since it is smaller than the sum of its proper divisors (4684).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452).

4220 is a wasteful number, since it uses less digits than its factorization.

4220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4220 is about 64.9615270756. The cubic root of 4220 is about 16.1598558952.

Adding to 4220 its reverse (224), we get a palindrome (4444).

The spelling of 4220 in words is "four thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 211 422 844 1055 2110 4220