226368 has 56 divisors (see below), whose sum is σ = 670560. Its totient is φ = 74880.

The previous prime is 226367. The next prime is 226379. The reversal of 226368 is 863622.

226368 is a `hidden beast` number, since 22 + 636 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (226367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1663 + ... + 1793.

2²²⁶³⁶⁸ 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 226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335280).

226368 is an abundant number, since it is smaller than the sum of its proper divisors (444192).

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

226368 is a wasteful number, since it uses less digits than its factorization.

226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

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

The square root of 226368 is about 475.7814624384. The cubic root of 226368 is about 60.9450369376.

The spelling of 226368 in words is "two hundred twenty-six thousand, three hundred sixty-eight".