226828320 has 48 divisors (see below), whose sum is σ = 714510720. Its totient is φ = 60487424.

The previous prime is 226828313. The next prime is 226828339. The reversal of 226828320 is 23828622.

It is a tau number, because it is divible by the number of its divisors (48).

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, 235800 + ... + 236759.

It is an arithmetic number, because the mean of its divisors is an integer number (14885640).

Almost surely, 2^226828320 is an apocalyptic number.

226828320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226828320 is an abundant number, since it is smaller than the sum of its proper divisors (487682400).

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

226828320 is a wasteful number, since it uses less digits than its factorization.

226828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472577 (or 472569 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 226828320 is about 15060.8206947696. The cubic root of 226828320 is about 609.8631960526.

The spelling of 226828320 in words is "two hundred twenty-six million, eight hundred twenty-eight thousand, three hundred twenty".