220003000224 has 192 divisors, whose sum is σ = 663272064000. Its totient is φ = 62548162560.

The previous prime is 220003000213. The next prime is 220003000271. The reversal of 220003000224 is 422000300022.

It is a super-2 number, since 2×220003000224² (a number of 23 digits) contains 22 as substring.

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, 148549564 + ... + 148551044.

It is an arithmetic number, because the mean of its divisors is an integer number (3454542000).

Almost surely, 2^220003000224 is an apocalyptic number.

220003000224 is a gapful number since it is divisible by the number (24) 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 220003000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331636032000).

220003000224 is an abundant number, since it is smaller than the sum of its proper divisors (443269063776).

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

220003000224 is a wasteful number, since it uses less digits than its factorization.

220003000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 220003000224 its reverse (422000300022), we get a palindrome (642003300246).

The spelling of 220003000224 in words is "two hundred twenty billion, three million, two hundred twenty-four", and thus it is an aban number.