226512832 has 224 divisors, whose sum is σ = 614476800. Its totient is φ = 80289792.

The previous prime is 226512827. The next prime is 226512833. The reversal of 226512832 is 238215622.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 226512794 and 226512803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226512833) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2545044 + ... + 2545132.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2^226512832 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 226512832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400).

226512832 is an abundant number, since it is smaller than the sum of its proper divisors (387963968).

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

226512832 is a wasteful number, since it uses less digits than its factorization.

226512832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 226512832 is about 15050.3432518996. The cubic root of 226512832 is about 609.5803186882.

It can be divided in two parts, 226512 and 832, that multiplied together give a square (188457984 = 13728²).

The spelling of 226512832 in words is "two hundred twenty-six million, five hundred twelve thousand, eight hundred thirty-two".