226200960 has 192 divisors, whose sum is σ = 789076080. Its totient is φ = 59707392.

The previous prime is 226200917. The next prime is 226200971. The reversal of 226200960 is 69002622.

226200960 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996367 + ... + 996593.

Almost surely, 2^226200960 is an apocalyptic number.

226200960 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 226200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394538040).

226200960 is an abundant number, since it is smaller than the sum of its proper divisors (562875120).

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

226200960 is a wasteful number, since it uses less digits than its factorization.

226200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226200960 is about 15039.9787233892. The cubic root of 226200960 is about 609.3004252724.

The spelling of 226200960 in words is "two hundred twenty-six million, two hundred thousand, nine hundred sixty".