220251242320 has 80 divisors (see below), whose sum is σ = 524756413440. Its totient is φ = 85921817600.

The previous prime is 220251242297. The next prime is 220251242347. The reversal of 220251242320 is 23242152022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11007525 + ... + 11027515.

It is an arithmetic number, because the mean of its divisors is an integer number (6559455168).

Almost surely, 2^220251242320 is an apocalyptic number.

220251242320 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 220251242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262378206720).

220251242320 is an abundant number, since it is smaller than the sum of its proper divisors (304505171120).

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

220251242320 is a wasteful number, since it uses less digits than its factorization.

220251242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23404 (or 23398 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 220251242320 its reverse (23242152022), we get a palindrome (243493394342).

The spelling of 220251242320 in words is "two hundred twenty billion, two hundred fifty-one million, two hundred forty-two thousand, three hundred twenty".