226309152 has 96 divisors (see below), whose sum is σ = 637398720. Its totient is φ = 70087680.

The previous prime is 226309141. The next prime is 226309159. The reversal of 226309152 is 251903622.

226309152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (226309159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95502 + ... + 97842.

It is an arithmetic number, because the mean of its divisors is an integer number (6639570).

Almost surely, 2^226309152 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 226309152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318699360).

226309152 is an abundant number, since it is smaller than the sum of its proper divisors (411089568).

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

226309152 is a wasteful number, since it uses less digits than its factorization.

226309152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 226309152 is about 15043.5751070017. The cubic root of 226309152 is about 609.3975526591.

The spelling of 226309152 in words is "two hundred twenty-six million, three hundred nine thousand, one hundred fifty-two".