226688 has 64 divisors (see below), whose sum is σ = 587520. Its totient is φ = 84480.

The previous prime is 226669. The next prime is 226691. The reversal of 226688 is 886622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9845 + ... + 9867.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2²²⁶⁶⁸⁸ is an apocalyptic number.

226688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

226688 is an abundant number, since it is smaller than the sum of its proper divisors (360832).

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

226688 is a wasteful number, since it uses less digits than its factorization.

226688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 43 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 226688 is about 476.1176325237. The cubic root of 226688 is about 60.9737412735.

The spelling of 226688 in words is "two hundred twenty-six thousand, six hundred eighty-eight".