226210432 has 64 divisors (see below), whose sum is σ = 545365440. Its totient is φ = 91238400.

The previous prime is 226210403. The next prime is 226210471. The reversal of 226210432 is 234012622.

226210432 is digitally balanced in base 2 and base 3, because in such bases 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 (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7807 + ... + 22657.

It is an arithmetic number, because the mean of its divisors is an integer number (8521335).

Almost surely, 2^226210432 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 226210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272682720).

226210432 is an abundant number, since it is smaller than the sum of its proper divisors (319155008).

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

226210432 is a wasteful number, since it uses less digits than its factorization.

226210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14889 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 226210432 is about 15040.2936141553. The cubic root of 226210432 is about 609.3089298238.

The spelling of 226210432 in words is "two hundred twenty-six million, two hundred ten thousand, four hundred thirty-two".