226810252800 has 360 divisors, whose sum is σ = 839693008440. Its totient is φ = 58396262400.

The previous prime is 226810252789. The next prime is 226810252871. The reversal of 226810252800 is 8252018622.

226810252800 is a `hidden beast` number, since 2 + 26 + 8 + 102 + 528 + 0 + 0 = 666.

226810252800 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 (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3306855 + ... + 3374745.

It is an arithmetic number, because the mean of its divisors is an integer number (2332480579).

Almost surely, 2^226810252800 is an apocalyptic number.

226810252800 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 226810252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419846504220).

226810252800 is an abundant number, since it is smaller than the sum of its proper divisors (612882755640).

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

226810252800 is a wasteful number, since it uses less digits than its factorization.

226810252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67954 (or 67930 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 226810252800 in words is "two hundred twenty-six billion, eight hundred ten million, two hundred fifty-two thousand, eight hundred".