226338 has 32 divisors (see below), whose sum is σ = 549504. Its totient is φ = 60672.

The previous prime is 226337. The next prime is 226357. The reversal of 226338 is 833622.

It is a d-powerful number, because it can be written as 2¹³ + 2¹³ + 3 + 6² + 3¹¹ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (226337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (17172).

2²²⁶³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274752).

226338 is an abundant number, since it is smaller than the sum of its proper divisors (323166).

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

226338 is a wasteful number, since it uses less digits than its factorization.

226338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346.

The product of its digits is 1728, while the sum is 24.

The square root of 226338 is about 475.7499343142. The cubic root of 226338 is about 60.9423445195.

The spelling of 226338 in words is "two hundred twenty-six thousand, three hundred thirty-eight".