226828 has 12 divisors (see below), whose sum is σ = 453712. Its totient is φ = 97200.

The previous prime is 226823. The next prime is 226843. The reversal of 226828 is 828622.

226828 = 177² + 178² + ... + 183².

It is a happy number.

226828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

226828 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 8101 = 226828 / (2 + 2 + 6 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 226796 and 226805.

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 3 ways as a sum of consecutive naturals, for example, 4023 + ... + 4078.

2²²⁶⁸²⁸ is an apocalyptic number.

226828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

226828 is a wasteful number, since it uses less digits than its factorization.

226828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8110 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 226828 is about 476.2646323211. The cubic root of 226828 is about 60.9862909263.

It can be divided in two parts, 2268 and 28, that multiplied together give a square (63504 = 252²).

The spelling of 226828 in words is "two hundred twenty-six thousand, eight hundred twenty-eight".