226432416 has 96 divisors (see below), whose sum is σ = 682795008. Its totient is φ = 64362240.

The previous prime is 226432411. The next prime is 226432433. The reversal of 226432416 is 614234622.

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

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

It is not an unprimeable number, because it can be changed into a prime (226432411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149101 + ... + 150611.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2^226432416 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 226432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341397504).

226432416 is an abundant number, since it is smaller than the sum of its proper divisors (456362592).

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

226432416 is a wasteful number, since it uses less digits than its factorization.

226432416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1746 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 226432416 is about 15047.6714477689. The cubic root of 226432416 is about 609.5081729403.

The spelling of 226432416 in words is "two hundred twenty-six million, four hundred thirty-two thousand, four hundred sixteen".