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2220 = 223537
BaseRepresentation
bin100010101100
310001020
4202230
532340
614140
76321
oct4254
93036
102220
111739
121350
13101a
14b48
159d0
hex8ac

2220 has 24 divisors (see below), whose sum is σ = 6384. Its totient is φ = 576.

The previous prime is 2213. The next prime is 2221. The reversal of 2220 is 222.

Adding to 2220 its reverse (222), we get a palindrome (2442).

It can be divided in two parts, 2 and 220, that added together give a palindrome (222).

2220 = 132 + 142 + ... + 202.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 7 and base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2199 and 2208.

It is not an unprimeable number, because it can be changed into a prime (2221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 78.

It is an arithmetic number, because the mean of its divisors is an integer number (266).

2220 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 2220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192).

2220 is an abundant number, since it is smaller than the sum of its proper divisors (4164).

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

2220 is a wasteful number, since it uses less digits than its factorization.

2220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2220 is about 47.1168759576. The cubic root of 2220 is about 13.0452075002.

The spelling of 2220 in words is "two thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220