223416 has 48 divisors (see below), whose sum is σ = 631800. Its totient is φ = 71232.

The previous prime is 223403. The next prime is 223423. The reversal of 223416 is 614322.

It is a happy number.

223416 is digitally balanced in base 2, 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 (18).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

223416 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 11 ways as a sum of consecutive naturals, for example, 2035 + ... + 2141.

2²²³⁴¹⁶ 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 223416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315900).

223416 is an abundant number, since it is smaller than the sum of its proper divisors (408384).

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

223416 is a wasteful number, since it uses less digits than its factorization.

223416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 223416 is about 472.6690173895. The cubic root of 223416 is about 60.6789546953.

Adding to 223416 its reverse (614322), we get a palindrome (837738).

The spelling of 223416 in words is "two hundred twenty-three thousand, four hundred sixteen".