226616832 has 240 divisors, whose sum is σ = 733859280. Its totient is φ = 69009408.

The previous prime is 226616827. The next prime is 226616839. The reversal of 226616832 is 238616622.

226616832 is a `hidden beast` number, since 2 + 2 + 6 + 616 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226616839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2336208 + ... + 2336304.

It is an arithmetic number, because the mean of its divisors is an integer number (3057747).

Almost surely, 2^226616832 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 226616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366929640).

226616832 is an abundant number, since it is smaller than the sum of its proper divisors (507242448).

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

226616832 is an equidigital number, since it uses as much as digits as its factorization.

226616832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 226616832 is about 15053.7979261049. The cubic root of 226616832 is about 609.6735976613.

The spelling of 226616832 in words is "two hundred twenty-six million, six hundred sixteen thousand, eight hundred thirty-two".