228220 has 12 divisors (see below), whose sum is σ = 479304. Its totient is φ = 91280.

The previous prime is 228211. The next prime is 228223. The reversal of 228220 is 22822.

228220 = T₁₈₉ + T₁₉₀ + ... + T₂₀₀.

It is a junction number, because it is equal to n+sod(n) for n = 228194 and 228203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228223) by changing a digit.

228220 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5686 + ... + 5725.

It is an arithmetic number, because the mean of its divisors is an integer number (39942).

2²²⁸²²⁰ is an apocalyptic number.

228220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228220 is an abundant number, since it is smaller than the sum of its proper divisors (251084).

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

228220 is a wasteful number, since it uses less digits than its factorization.

228220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 228220 is about 477.7237695573. The cubic root of 228220 is about 61.1107903258.

The spelling of 228220 in words is "two hundred twenty-eight thousand, two hundred twenty".