221145230320 has 160 divisors (see below), whose sum is σ = 626659891200. Its totient is φ = 70847336448.

The previous prime is 221145230311. The next prime is 221145230333. The reversal of 221145230320 is 23032541122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239721 + ... + 1406839.

It is an arithmetic number, because the mean of its divisors is an integer number (3916624320).

Almost surely, 2^221145230320 is an apocalyptic number.

221145230320 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 221145230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313329945600).

221145230320 is an abundant number, since it is smaller than the sum of its proper divisors (405514660880).

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

221145230320 is a wasteful number, since it uses less digits than its factorization.

221145230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167295 (or 167289 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 221145230320 its reverse (23032541122), we get a palindrome (244177771442).

The spelling of 221145230320 in words is "two hundred twenty-one billion, one hundred forty-five million, two hundred thirty thousand, three hundred twenty".