320102000224 has 48 divisors (see below), whose sum is σ = 664267867200. Its totient is φ = 151421871744.

The previous prime is 320102000221. The next prime is 320102000227. The reversal of 320102000224 is 422000201023.

It is an interprime number because it is at equal distance from previous prime (320102000221) and next prime (320102000227).

It is a super-3 number, since 3×320102000224³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 320102000198 and 320102000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320102000221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93099 + ... + 805525.

It is an arithmetic number, because the mean of its divisors is an integer number (13838913900).

Almost surely, 2^320102000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320102000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332133933600).

320102000224 is an abundant number, since it is smaller than the sum of its proper divisors (344165866976).

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

320102000224 is a wasteful number, since it uses less digits than its factorization.

320102000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713195 (or 713187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 320102000224 its reverse (422000201023), we get a palindrome (742102201247).

The spelling of 320102000224 in words is "three hundred twenty billion, one hundred two million, two hundred twenty-four", and thus it is an aban number.