226815360 has 128 divisors (see below), whose sum is σ = 765612000. Its totient is φ = 56918016.

The previous prime is 226815353. The next prime is 226815361. The reversal of 226815360 is 63518622.

226815360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226815361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29166 + ... + 36114.

Almost surely, 2^226815360 is an apocalyptic number.

226815360 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 226815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382806000).

226815360 is an abundant number, since it is smaller than the sum of its proper divisors (538796640).

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

226815360 is a wasteful number, since it uses less digits than its factorization.

226815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 226815360 is about 15060.3904331860. The cubic root of 226815360 is about 609.8515808399.

The spelling of 226815360 in words is "two hundred twenty-six million, eight hundred fifteen thousand, three hundred sixty".