220673817800 has 108 divisors (see below), whose sum is σ = 522838724145. Its totient is φ = 86619306560.

The previous prime is 220673817779. The next prime is 220673817809. The reversal of 220673817800 is 8718376022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220673817800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 216260341444 + 4413476356 = 465038^2 + 66434^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332170.

It is not an unprimeable number, because it can be changed into a prime (220673817809) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 391960319 + ... + 391960881.

Almost surely, 2^220673817800 is an apocalyptic number.

220673817800 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 220673817800

220673817800 is an abundant number, since it is smaller than the sum of its proper divisors (302164906345).

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

220673817800 is an frugal number, since it uses more digits than its factorization.

220673817800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 220673817800 in words is "two hundred twenty billion, six hundred seventy-three million, eight hundred seventeen thousand, eight hundred".