226456032 has 96 divisors (see below), whose sum is σ = 653837184. Its totient is φ = 68057600.

The previous prime is 226456007. The next prime is 226456033. The reversal of 226456032 is 230654622.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226456033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137518 + ... + 139154.

It is an arithmetic number, because the mean of its divisors is an integer number (6810804).

Almost surely, 2^226456032 is an apocalyptic number.

226456032 is a gapful number since it is divisible by the number (22) 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 226456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326918592).

226456032 is an abundant number, since it is smaller than the sum of its proper divisors (427381152).

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

226456032 is a wasteful number, since it uses less digits than its factorization.

226456032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 226456032 is about 15048.4561334377. The cubic root of 226456032 is about 609.5293619627.

The spelling of 226456032 in words is "two hundred twenty-six million, four hundred fifty-six thousand, thirty-two".