226327392 has 192 divisors, whose sum is σ = 736646400. Its totient is φ = 67184640.

The previous prime is 226327379. The next prime is 226327393. The reversal of 226327392 is 293723622.

226327392 is a `hidden beast` number, since 2 + 263 + 2 + 7 + 392 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226327393) 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 31 ways as a sum of consecutive naturals, for example, 278667 + ... + 279477.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2^226327392 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 226327392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368323200).

226327392 is an abundant number, since it is smaller than the sum of its proper divisors (510319008).

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

226327392 is a wasteful number, since it uses less digits than its factorization.

226327392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 226327392 is about 15044.1813336585. The cubic root of 226327392 is about 609.4139242355.

The spelling of 226327392 in words is "two hundred twenty-six million, three hundred twenty-seven thousand, three hundred ninety-two".