226746880 has 80 divisors (see below), whose sum is σ = 567445824. Its totient is φ = 86732800.

The previous prime is 226746791. The next prime is 226746889. The reversal of 226746880 is 88647622.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (226746889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56955 + ... + 60805.

Almost surely, 2^226746880 is an apocalyptic number.

226746880 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 226746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283722912).

226746880 is an abundant number, since it is smaller than the sum of its proper divisors (340698944).

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

226746880 is an equidigital number, since it uses as much as digits as its factorization.

226746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 226746880 is about 15058.1167481196. The cubic root of 226746880 is about 609.7901992827.

The spelling of 226746880 in words is "two hundred twenty-six million, seven hundred forty-six thousand, eight hundred eighty".