226278280800 has 1728 divisors, whose sum is σ = 1013447635200. Its totient is φ = 46680883200.

The previous prime is 226278280747. The next prime is 226278280847. The reversal of 226278280800 is 8082872622.

It is a happy number.

226278280800 is a `hidden beast` number, since 2 + 26 + 278 + 280 + 80 + 0 = 666.

226278280800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 841183066 + ... + 841183334.

It is an arithmetic number, because the mean of its divisors is an integer number (586485900).

Almost surely, 2^226278280800 is an apocalyptic number.

226278280800 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 226278280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506723817600).

226278280800 is an abundant number, since it is smaller than the sum of its proper divisors (787169354400).

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

226278280800 is a wasteful number, since it uses less digits than its factorization.

226278280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 226278280800 in words is "two hundred twenty-six billion, two hundred seventy-eight million, two hundred eighty thousand, eight hundred".