226051056 has 480 divisors, whose sum is σ = 882086400. Its totient is φ = 52254720.

The previous prime is 226051051. The next prime is 226051069. The reversal of 226051056 is 650150622.

226051056 is a `hidden beast` number, since 2 + 2 + 605 + 1 + 0 + 56 = 666.

It is a super-4 number, since 4×226051056⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226051051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6109470 + ... + 6109506.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 2^226051056 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 226051056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441043200).

226051056 is an abundant number, since it is smaller than the sum of its proper divisors (656035344).

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

226051056 is a wasteful number, since it uses less digits than its factorization.

226051056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 226051056 is about 15034.9943797795. The cubic root of 226051056 is about 609.1658005053.

The spelling of 226051056 in words is "two hundred twenty-six million, fifty-one thousand, fifty-six".