228826 has 12 divisors (see below), whose sum is σ = 372222. Its totient is φ = 105456.

The previous prime is 228799. The next prime is 228829. The reversal of 228826 is 628822.

It is a happy number.

228826 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

228826 is a nontrivial binomial coefficient, being equal to C(677, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 189225 + 39601 = 435^2 + 199^2 .

It is a super-2 number, since 2×228826² = 104722676552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228794 and 228803.

It is not an unprimeable number, because it can be changed into a prime (228829) by changing a digit.

228826 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 5 ways as a sum of consecutive naturals, for example, 1 + ... + 676.

2²²⁸⁸²⁶ is an apocalyptic number.

228826 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

228826 is the 676-th triangular number.

228826 is the 226-th centered nonagonal number.

228826 is a deficient number, since it is larger than the sum of its proper divisors (143396).

228826 is a wasteful number, since it uses less digits than its factorization.

228826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 692 counting only the distinct ones).

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

The square root of 228826 is about 478.3576068173. The cubic root of 228826 is about 61.1648323449.

The spelling of 228826 in words is "two hundred twenty-eight thousand, eight hundred twenty-six".