220301944200 has 972 divisors, whose sum is σ = 860729372685. Its totient is φ = 50468520960.

The previous prime is 220301944193. The next prime is 220301944217. The reversal of 220301944200 is 2449103022.

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.

220301944200 is a `hidden beast` number, since 2 + 20 + 30 + 194 + 420 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 1317254436 + 218984689764 = 36294^2 + 467958^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331890.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5954106582 + ... + 5954106618.

Almost surely, 2^220301944200 is an apocalyptic number.

220301944200 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 220301944200

220301944200 is an abundant number, since it is smaller than the sum of its proper divisors (640427428485).

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

220301944200 is a wasteful number, since it uses less digits than its factorization.

220301944200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 220301944200 in words is "two hundred twenty billion, three hundred one million, nine hundred forty-four thousand, two hundred".