226656 has 36 divisors (see below), whose sum is σ = 645372. Its totient is φ = 75456.

The previous prime is 226649. The next prime is 226657. The reversal of 226656 is 656622.

226656 is a `hidden beast` number, since 2 + 2 + 6 + 656 = 666.

226656 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226657) by changing a digit.

226656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (17927).

2²²⁶⁶⁵⁶ 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 226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322686).

226656 is an abundant number, since it is smaller than the sum of its proper divisors (418716).

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

226656 is a wasteful number, since it uses less digits than its factorization.

226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 226656 is about 476.0840261971. The cubic root of 226656 is about 60.9708720560.

The spelling of 226656 in words is "two hundred twenty-six thousand, six hundred fifty-six".