226438924800 has 480 divisors, whose sum is σ = 819808957440. Its totient is φ = 54640230400.

The previous prime is 226438924799. The next prime is 226438924889. The reversal of 226438924800 is 8429834622.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 226438924800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100952479 + ... + 100954721.

It is an arithmetic number, because the mean of its divisors is an integer number (1707935328).

Almost surely, 2^226438924800 is an apocalyptic number.

226438924800 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 226438924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409904478720).

226438924800 is an abundant number, since it is smaller than the sum of its proper divisors (593370032640).

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

226438924800 is a wasteful number, since it uses less digits than its factorization.

226438924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 226438924800 in words is "two hundred twenty-six billion, four hundred thirty-eight million, nine hundred twenty-four thousand, eight hundred".