226832160 has 144 divisors (see below), whose sum is σ = 732146688. Its totient is φ = 59028480.

The previous prime is 226832153. The next prime is 226832191. The reversal of 226832160 is 61238622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1786017 + ... + 1786143.

It is an arithmetic number, because the mean of its divisors is an integer number (5084352).

Almost surely, 2^226832160 is an apocalyptic number.

226832160 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 226832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366073344).

226832160 is an abundant number, since it is smaller than the sum of its proper divisors (505314528).

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

226832160 is a wasteful number, since it uses less digits than its factorization.

226832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 226832160 is about 15060.9481773227. The cubic root of 226832160 is about 609.8666375121.

The spelling of 226832160 in words is "two hundred twenty-six million, eight hundred thirty-two thousand, one hundred sixty".