2214222000320 has 448 divisors, whose sum is σ = 6195446974080. Its totient is φ = 744829747200.

The previous prime is 2214222000271. The next prime is 2214222000391. The reversal of 2214222000320 is 230002224122.

It is a super-2 number, since 2×2214222000320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2214222000292 and 2214222000301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963961412 + ... + 963963708.

It is an arithmetic number, because the mean of its divisors is an integer number (13829122710).

Almost surely, 2^{2214222000320} is an apocalyptic number.

2214222000320 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 2214222000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097723487040).

2214222000320 is an abundant number, since it is smaller than the sum of its proper divisors (3981224973760).

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

2214222000320 is a wasteful number, since it uses less digits than its factorization.

2214222000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2214222000320 its reverse (230002224122), we get a palindrome (2444224224442).

The spelling of 2214222000320 in words is "two trillion, two hundred fourteen billion, two hundred twenty-two million, three hundred twenty", and thus it is an aban number.