226418880 has 112 divisors (see below), whose sum is σ = 722741760. Its totient is φ = 60054528.

The previous prime is 226418867. The next prime is 226418887. The reversal of 226418880 is 88814622.

226418880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226418887) 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, 217401 + ... + 218439.

Almost surely, 2^226418880 is an apocalyptic number.

226418880 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 226418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361370880).

226418880 is an abundant number, since it is smaller than the sum of its proper divisors (496322880).

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

226418880 is a wasteful number, since it uses less digits than its factorization.

226418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 226418880 is about 15047.2216704613. The cubic root of 226418880 is about 609.4960273485.

The spelling of 226418880 in words is "two hundred twenty-six million, four hundred eighteen thousand, eight hundred eighty".