226820 has 24 divisors (see below), whose sum is σ = 520128. Its totient is φ = 82400.

The previous prime is 226819. The next prime is 226823. The reversal of 226820 is 28622.

226820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 226792 and 226801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226820.

It is not an unprimeable number, because it can be changed into a prime (226823) 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, 296 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (21672).

2²²⁶⁸²⁰ is an apocalyptic number.

226820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226820 is an abundant number, since it is smaller than the sum of its proper divisors (293308).

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

226820 is a wasteful number, since it uses less digits than its factorization.

226820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 226820 is about 476.2562335550. The cubic root of 226820 is about 60.9855739424.

The spelling of 226820 in words is "two hundred twenty-six thousand, eight hundred twenty".