226380 has 96 divisors (see below), whose sum is σ = 806400. Its totient is φ = 47040.

The previous prime is 226379. The next prime is 226381. The reversal of 226380 is 83622.

226380 = T₂₁ + T₂₂ + ... + T₁₁₀.

226380 is nontrivially palindromic in base 9.

226380 is digitally balanced in base 2, because in such base 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 (226379) and next prime (226381).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20575 + ... + 20585.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2²²⁶³⁸⁰ is an apocalyptic number.

226380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

226380 is an abundant number, since it is smaller than the sum of its proper divisors (580020).

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

226380 is a wasteful number, since it uses less digits than its factorization.

226380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 226380 is about 475.7940731031. The cubic root of 226380 is about 60.9461138382.

It can be divided in two parts, 226 and 380, that added together give a palindrome (606).

The spelling of 226380 in words is "two hundred twenty-six thousand, three hundred eighty".