226110442800 has 240 divisors, whose sum is σ = 790554579840. Its totient is φ = 54786816000.

The previous prime is 226110442741. The next prime is 226110442847. The reversal of 226110442800 is 8244011622.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×226110442800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39742356 + ... + 39748044.

It is an arithmetic number, because the mean of its divisors is an integer number (3293977416).

Almost surely, 2^226110442800 is an apocalyptic number.

226110442800 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 226110442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395277289920).

226110442800 is an abundant number, since it is smaller than the sum of its proper divisors (564444137040).

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

226110442800 is a wasteful number, since it uses less digits than its factorization.

226110442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 226110442800 in words is "two hundred twenty-six billion, one hundred ten million, four hundred forty-two thousand, eight hundred".