220565350200 has 192 divisors, whose sum is σ = 740762588160. Its totient is φ = 53967582720.

The previous prime is 220565350079. The next prime is 220565350211. The reversal of 220565350200 is 2053565022.

220565350200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1217937 + ... + 1387263.

It is an arithmetic number, because the mean of its divisors is an integer number (3858138480).

Almost surely, 2^220565350200 is an apocalyptic number.

220565350200 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 220565350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370381294080).

220565350200 is an abundant number, since it is smaller than the sum of its proper divisors (520197237960).

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

220565350200 is a wasteful number, since it uses less digits than its factorization.

220565350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169526 (or 169517 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 220565350200 in words is "two hundred twenty billion, five hundred sixty-five million, three hundred fifty thousand, two hundred".