226716960 has 96 divisors (see below), whose sum is σ = 717111360. Its totient is φ = 60208128.

The previous prime is 226716953. The next prime is 226716967. The reversal of 226716960 is 69617622.

It is an interprime number because it is at equal distance from previous prime (226716953) and next prime (226716967).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (226716967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135006 + ... + 136674.

It is an arithmetic number, because the mean of its divisors is an integer number (7469910).

Almost surely, 2^226716960 is an apocalyptic number.

226716960 is a gapful number since it is divisible by the number (20) 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 226716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358555680).

226716960 is an abundant number, since it is smaller than the sum of its proper divisors (490394400).

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

226716960 is a wasteful number, since it uses less digits than its factorization.

226716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 226716960 is about 15057.1232312152. The cubic root of 226716960 is about 609.7633768258.

The spelling of 226716960 in words is "two hundred twenty-six million, seven hundred sixteen thousand, nine hundred sixty".