226406016 has 192 divisors, whose sum is σ = 701719200. Its totient is φ = 72576000.

The previous prime is 226405999. The next prime is 226406041. The reversal of 226406016 is 610604622.

It is a happy number.

226406016 is a `hidden beast` number, since 2 + 2 + 640 + 6 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901891 + ... + 902141.

Almost surely, 2^226406016 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 226406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

226406016 is an abundant number, since it is smaller than the sum of its proper divisors (475313184).

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

226406016 is an equidigital number, since it uses as much as digits as its factorization.

226406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226406016 is about 15046.7942100635. The cubic root of 226406016 is about 609.4844842808.

The spelling of 226406016 in words is "two hundred twenty-six million, four hundred six thousand, sixteen".