226633561000 has 256 divisors, whose sum is σ = 662166835200. Its totient is φ = 70533792000.

The previous prime is 226633560977. The next prime is 226633561051. The reversal of 226633561000 is 165336622.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63677221 + ... + 63680779.

It is an arithmetic number, because the mean of its divisors is an integer number (2586589200).

Almost surely, 2^226633561000 is an apocalyptic number.

226633561000 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 226633561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331083417600).

226633561000 is an abundant number, since it is smaller than the sum of its proper divisors (435533274200).

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

226633561000 is a wasteful number, since it uses less digits than its factorization.

226633561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 226633561000 its reverse (165336622), we get a palindrome (226798897622).

The spelling of 226633561000 in words is "two hundred twenty-six billion, six hundred thirty-three million, five hundred sixty-one thousand".