220833288200 has 324 divisors, whose sum is σ = 616343850855. Its totient is φ = 73369632000.

The previous prime is 220833288149. The next prime is 220833288223. The reversal of 220833288200 is 2882338022.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 196101951556 + 24731336644 = 442834^2 + 157262^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332290.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2186468150 + ... + 2186468250.

Almost surely, 2^220833288200 is an apocalyptic number.

220833288200 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 220833288200

220833288200 is an abundant number, since it is smaller than the sum of its proper divisors (395510562655).

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

220833288200 is a wasteful number, since it uses less digits than its factorization.

220833288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 220833288200 in words is "two hundred twenty billion, eight hundred thirty-three million, two hundred eighty-eight thousand, two hundred".