233226 has 32 divisors (see below), whose sum is σ = 593280. Its totient is φ = 66528.

The previous prime is 233221. The next prime is 233231. The reversal of 233226 is 622332.

233226 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233221) and next prime (233231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 233199 and 233208.

It is not an unprimeable number, because it can be changed into a prime (233221) by changing a digit.

233226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (18540).

2²³³²²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296640).

233226 is an abundant number, since it is smaller than the sum of its proper divisors (360054).

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

233226 is a wasteful number, since it uses less digits than its factorization.

233226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 233226 is about 482.9347782051. The cubic root of 233226 is about 61.5543837806.

Adding to 233226 its reverse (622332), we get a palindrome (855558).

It can be divided in two parts, 23 and 3226, that added together give a square (3249 = 57²).

The spelling of 233226 in words is "two hundred thirty-three thousand, two hundred twenty-six".