226413216 has 72 divisors (see below), whose sum is σ = 646862580. Its totient is φ = 75119616.

The previous prime is 226413211. The next prime is 226413217. The reversal of 226413216 is 612314622.

226413216 is a `hidden beast` number, since 2 + 2 + 641 + 3 + 2 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219632400 + 6780816 = 14820^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 226413216.

It is not an unprimeable number, because it can be changed into a prime (226413211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64236 + ... + 67668.

Almost surely, 2^226413216 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 226413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323431290).

226413216 is an abundant number, since it is smaller than the sum of its proper divisors (420449364).

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

226413216 is a wasteful number, since it uses less digits than its factorization.

226413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3667 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 226413216 is about 15047.0334617824. The cubic root of 226413216 is about 609.4909450069.

Adding to 226413216 its reverse (612314622), we get a palindrome (838727838).

The spelling of 226413216 in words is "two hundred twenty-six million, four hundred thirteen thousand, two hundred sixteen".