226588832 has 96 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 101606400.

The previous prime is 226588829. The next prime is 226588849. The reversal of 226588832 is 238885622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251782 + ... + 1251962.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^226588832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226588832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

226588832 is an abundant number, since it is smaller than the sum of its proper divisors (268742368).

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

226588832 is a wasteful number, since it uses less digits than its factorization.

226588832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 226588832 is about 15052.8678995067. The cubic root of 226588832 is about 609.6484868995.

The spelling of 226588832 in words is "two hundred twenty-six million, five hundred eighty-eight thousand, eight hundred thirty-two".