220205513000 has 128 divisors (see below), whose sum is σ = 572732259840. Its totient is φ = 78563680000.

The previous prime is 220205512999. The next prime is 220205513081. The reversal of 220205513000 is 315502022.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 394145 + ... + 771855.

It is an arithmetic number, because the mean of its divisors is an integer number (4474470780).

Almost surely, 2^220205513000 is an apocalyptic number.

220205513000 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 220205513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286366129920).

220205513000 is an abundant number, since it is smaller than the sum of its proper divisors (352526746840).

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

220205513000 is a wasteful number, since it uses less digits than its factorization.

220205513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377796 (or 377782 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 220205513000 in words is "two hundred twenty billion, two hundred five million, five hundred thirteen thousand".