226868002800 has 120 divisors (see below), whose sum is σ = 764983061760. Its totient is φ = 57314016000.

The previous prime is 226868002799. The next prime is 226868002817. The reversal of 226868002800 is 8200868622.

226868002800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4952376 + ... + 4997975.

It is an arithmetic number, because the mean of its divisors is an integer number (6374858848).

Almost surely, 2^226868002800 is an apocalyptic number.

226868002800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226868002800 is an abundant number, since it is smaller than the sum of its proper divisors (538115058960).

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

226868002800 is a wasteful number, since it uses less digits than its factorization.

226868002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950391 (or 9950380 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 226868002800 in words is "two hundred twenty-six billion, eight hundred sixty-eight million, two thousand, eight hundred".