226968 has 48 divisors (see below), whose sum is σ = 663480. Its totient is φ = 64512.

The previous prime is 226943. The next prime is 226991. The reversal of 226968 is 869622.

Its product of digits (10368) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

226968 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 11 ways as a sum of consecutive naturals, for example, 1080 + ... + 1272.

2²²⁶⁹⁶⁸ is an apocalyptic number.

226968 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 226968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331740).

226968 is an abundant number, since it is smaller than the sum of its proper divisors (436512).

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

226968 is a wasteful number, since it uses less digits than its factorization.

226968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 226968 is about 476.4115867609. The cubic root of 226968 is about 60.9988354163.

The spelling of 226968 in words is "two hundred twenty-six thousand, nine hundred sixty-eight".