226416 has 40 divisors (see below), whose sum is σ = 602640. Its totient is φ = 73216.

The previous prime is 226409. The next prime is 226427. The reversal of 226416 is 614622.

It is a happy number.

226416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 226392 and 226401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (15066).

2²²⁶⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320).

226416 is an abundant number, since it is smaller than the sum of its proper divisors (376224).

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

226416 is a wasteful number, since it uses less digits than its factorization.

226416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

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

The square root of 226416 is about 475.8319030918. The cubic root of 226416 is about 60.9493443118.

The spelling of 226416 in words is "two hundred twenty-six thousand, four hundred sixteen".