30022000320 has 224 divisors, whose sum is σ = 108055745280. Its totient is φ = 7001026560.

The previous prime is 30022000291. The next prime is 30022000331. The reversal of 30022000320 is 2300022003.

It is a super-3 number, since 3×30022000320³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30022000296 and 30022000305.

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, 173815 + ... + 300425.

It is an arithmetic number, because the mean of its divisors is an integer number (482391720).

Almost surely, 2^30022000320 is an apocalyptic number.

30022000320 is a gapful number since it is divisible by the number (30) 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 30022000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027872640).

30022000320 is an abundant number, since it is smaller than the sum of its proper divisors (78033744960).

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

30022000320 is a wasteful number, since it uses less digits than its factorization.

30022000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126663 (or 126653 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 30022000320 its reverse (2300022003), we get a palindrome (32322022323).

The spelling of 30022000320 in words is "thirty billion, twenty-two million, three hundred twenty", and thus it is an aban number.