226824 has 32 divisors (see below), whose sum is σ = 611520. Its totient is φ = 69696.

The previous prime is 226823. The next prime is 226843. The reversal of 226824 is 428622.

226824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 226794 and 226803.

It is not an unprimeable number, because it can be changed into a prime (226823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2²²⁶⁸²⁴ is an apocalyptic number.

226824 is a gapful number since it is divisible by the number (24) 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 226824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305760).

226824 is an abundant number, since it is smaller than the sum of its proper divisors (384696).

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

226824 is a wasteful number, since it uses less digits than its factorization.

226824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 226824 is about 476.2604329566. The cubic root of 226824 is about 60.9859324364.

The spelling of 226824 in words is "two hundred twenty-six thousand, eight hundred twenty-four".