226823688 has 144 divisors (see below), whose sum is σ = 760518720. Its totient is φ = 59799168.

The previous prime is 226823687. The next prime is 226823693. The reversal of 226823688 is 886328622.

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

It is not an unprimeable number, because it can be changed into a prime (226823687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83845 + ... + 86507.

It is an arithmetic number, because the mean of its divisors is an integer number (5281380).

Almost surely, 2^226823688 is an apocalyptic number.

226823688 is a gapful number since it is divisible by the number (28) 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 226823688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380259360).

226823688 is an abundant number, since it is smaller than the sum of its proper divisors (533695032).

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

226823688 is a wasteful number, since it uses less digits than its factorization.

226823688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2688 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 226823688 is about 15060.6669175040. Note that the first 3 decimals coincide. The cubic root of 226823688 is about 609.8590447404.

The spelling of 226823688 in words is "two hundred twenty-six million, eight hundred twenty-three thousand, six hundred eighty-eight".