220250000000 has 160 divisors (see below), whose sum is σ = 549096623460. Its totient is φ = 88000000000.

The previous prime is 220249999999. The next prime is 220250000017. The reversal of 220250000000 is 52022.

220250000000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 10 ways, for example, as 103575836224 + 116674163776 = 321832^2 + 341576^2 .

It is a sliding number, since 220250000000 = 64000000000 + 156250000000 and 1/64000000000 + 1/156250000000 = 0.0000000000220250000000.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 249999560 + ... + 250000440.

Almost surely, 2^220250000000 is an apocalyptic number.

220250000000 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 220250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274548311730).

220250000000 is an abundant number, since it is smaller than the sum of its proper divisors (328846623460).

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

220250000000 is an frugal number, since it uses more digits than its factorization.

220250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

Adding to 220250000000 its reverse (52022), we get a palindrome (220250052022).

The spelling of 220250000000 in words is "two hundred twenty billion, two hundred fifty million", and thus it is an aban number.