220288244000 has 576 divisors, whose sum is σ = 646273476576. Its totient is φ = 73441280000.

The previous prime is 220288243969. The next prime is 220288244027. The reversal of 220288244000 is 442882022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 48458097424 + 171830146576 = 220132^2 + 414524^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 95 ways as a sum of consecutive naturals, for example, 337347674 + ... + 337348326.

Almost surely, 2^220288244000 is an apocalyptic number.

220288244000 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 220288244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323136738288).

220288244000 is an abundant number, since it is smaller than the sum of its proper divisors (425985232576).

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

220288244000 is a wasteful number, since it uses less digits than its factorization.

220288244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 220288244000 in words is "two hundred twenty billion, two hundred eighty-eight million, two hundred forty-four thousand".