226962432 has 88 divisors (see below), whose sum is σ = 672234800. Its totient is φ = 75644928.

The previous prime is 226962431. The next prime is 226962451. The reversal of 226962432 is 234269622.

226962432 is a `hidden beast` number, since 2 + 26 + 9 + 624 + 3 + 2 = 666.

226962432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226962431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23544 + ... + 31752.

Almost surely, 2^226962432 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 226962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117400).

226962432 is an abundant number, since it is smaller than the sum of its proper divisors (445272368).

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

226962432 is an equidigital number, since it uses as much as digits as its factorization.

226962432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8214 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 226962432 is about 15065.2723838635. The cubic root of 226962432 is about 609.9833660250.

The spelling of 226962432 in words is "two hundred twenty-six million, nine hundred sixty-two thousand, four hundred thirty-two".