226216123421800 has 192 divisors, whose sum is σ = 531356433511680. Its totient is φ = 89561974794240.

The previous prime is 226216123421747. The next prime is 226216123421819. The reversal of 226216123421800 is 8124321612622.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 10276467594 + ... + 10276489606.

It is an arithmetic number, because the mean of its divisors is an integer number (2767481424540).

Almost surely, 2^{226216123421800} is an apocalyptic number.

226216123421800 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 226216123421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265678216755840).

226216123421800 is an abundant number, since it is smaller than the sum of its proper divisors (305140310089880).

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

226216123421800 is a wasteful number, since it uses less digits than its factorization.

226216123421800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23492 (or 23483 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 226216123421800 in words is "two hundred twenty-six trillion, two hundred sixteen billion, one hundred twenty-three million, four hundred twenty-one thousand, eight hundred".