228020 has 24 divisors (see below), whose sum is σ = 516264. Its totient is φ = 84096.

The previous prime is 228013. The next prime is 228023. The reversal of 228020 is 20822.

228020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 206116 = 148^2 + 454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 227986 and 228004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228023) by changing a digit.

228020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (21511).

2²²⁸⁰²⁰ is an apocalyptic number.

228020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228020 is an abundant number, since it is smaller than the sum of its proper divisors (288244).

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

228020 is a wasteful number, since it uses less digits than its factorization.

228020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 228020 is about 477.5143976887. The cubic root of 228020 is about 61.0929336815.

Adding to 228020 its reverse (20822), we get a palindrome (248842).

The spelling of 228020 in words is "two hundred twenty-eight thousand, twenty".