226123317000 has 384 divisors, whose sum is σ = 897098941440. Its totient is φ = 50287910400.

The previous prime is 226123316999. The next prime is 226123317001. The reversal of 226123317000 is 713321622.

226123317000 is a `hidden beast` number, since 2 + 2 + 612 + 33 + 17 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226123316999) and next prime (226123317001).

It is a super-2 number, since 2×226123317000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226123317001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2282497 + ... + 2379503.

It is an arithmetic number, because the mean of its divisors is an integer number (2336195160).

Almost surely, 2^226123317000 is an apocalyptic number.

226123317000 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 226123317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448549470720).

226123317000 is an abundant number, since it is smaller than the sum of its proper divisors (670975624440).

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

226123317000 is a wasteful number, since it uses less digits than its factorization.

226123317000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97078 (or 97061 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 226123317000 its reverse (713321622), we get a palindrome (226836638622).

The spelling of 226123317000 in words is "two hundred twenty-six billion, one hundred twenty-three million, three hundred seventeen thousand".