228906 has 28 divisors (see below), whose sum is σ = 518082. Its totient is φ = 75816.

The previous prime is 228901. The next prime is 228911. The reversal of 228906 is 609822.

It is an interprime number because it is at equal distance from previous prime (228901) and next prime (228911).

It can be written as a sum of positive squares in only one way, i.e., 210681 + 18225 = 459^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228906.

It is not an unprimeable number, because it can be changed into a prime (228901) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 1380 + ... + 1536.

2²²⁸⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259041).

228906 is an abundant number, since it is smaller than the sum of its proper divisors (289176).

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

228906 is an equidigital number, since it uses as much as digits as its factorization.

228906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 228906 is about 478.4412189601. The cubic root of 228906 is about 61.1719594727.

The spelling of 228906 in words is "two hundred twenty-eight thousand, nine hundred six".