221230000320 has 224 divisors, whose sum is σ = 803077286400. Its totient is φ = 50546171904.

The previous prime is 221230000309. The next prime is 221230000331. The reversal of 221230000320 is 23000032122.

It is an interprime number because it is at equal distance from previous prime (221230000309) and next prime (221230000331).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221230000320.

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, 21559351 + ... + 21569609.

Almost surely, 2^221230000320 is an apocalyptic number.

221230000320 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 221230000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401538643200).

221230000320 is an abundant number, since it is smaller than the sum of its proper divisors (581847286080).

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

221230000320 is a wasteful number, since it uses less digits than its factorization.

221230000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13495 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 221230000320 its reverse (23000032122), we get a palindrome (244230032442).

The spelling of 221230000320 in words is "two hundred twenty-one billion, two hundred thirty million, three hundred twenty", and thus it is an aban number.