220755772300 has 144 divisors (see below), whose sum is σ = 554644500480. Its totient is φ = 74698352640.

The previous prime is 220755772253. The next prime is 220755772337. The reversal of 220755772300 is 3277557022.

It is a super-2 number, since 2×220755772300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98594581 + ... + 98596819.

It is an arithmetic number, because the mean of its divisors is an integer number (3851697920).

Almost surely, 2^220755772300 is an apocalyptic number.

220755772300 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 220755772300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277322250240).

220755772300 is an abundant number, since it is smaller than the sum of its proper divisors (333888728180).

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

220755772300 is a wasteful number, since it uses less digits than its factorization.

220755772300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 40.

The spelling of 220755772300 in words is "two hundred twenty billion, seven hundred fifty-five million, seven hundred seventy-two thousand, three hundred".