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8220 = 2235137
BaseRepresentation
bin10000000011100
3102021110
42000130
5230340
6102020
732652
oct20034
912243
108220
1161a3
124910
133984
142dd2
152680
hex201c

8220 has 24 divisors (see below), whose sum is σ = 23184. Its totient is φ = 2176.

The previous prime is 8219. The next prime is 8221. The reversal of 8220 is 228.

Adding to 8220 its reverse (228), we get a palindrome (8448).

8220 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (8219) and next prime (8221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8196 and 8205.

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 8220.

It is not an unprimeable number, because it can be changed into a prime (8221) 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, 9 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (966).

28220 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 8220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592).

8220 is an abundant number, since it is smaller than the sum of its proper divisors (14964).

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

8220 is a wasteful number, since it uses less digits than its factorization.

8220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8220 is about 90.6642156531. The cubic root of 8220 is about 20.1816779915.

The spelling of 8220 in words is "eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220