226205728 has 48 divisors (see below), whose sum is σ = 510015744. Its totient is φ = 96744960.

The previous prime is 226205717. The next prime is 226205737. The reversal of 226205728 is 827502622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226205693 and 226205702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169801 + ... + 171127.

It is an arithmetic number, because the mean of its divisors is an integer number (10625328).

Almost surely, 2^226205728 is an apocalyptic number.

226205728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226205728 is an abundant number, since it is smaller than the sum of its proper divisors (283810016).

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

226205728 is a wasteful number, since it uses less digits than its factorization.

226205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 226205728 is about 15040.1372334165. The cubic root of 226205728 is about 609.3047063094.

The spelling of 226205728 in words is "two hundred twenty-six million, two hundred five thousand, seven hundred twenty-eight".