224224020020 has 96 divisors (see below), whose sum is σ = 632217712896. Its totient is φ = 64512000000.

The previous prime is 224224020001. The next prime is 224224020043. The reversal of 224224020020 is 20020422422.

It is a super-3 number, since 3×224224020020³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 224224019974 and 224224020001.

It is a congruent number.

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, 5579981 + ... + 5620020.

It is an arithmetic number, because the mean of its divisors is an integer number (6585601176).

Almost surely, 2^224224020020 is an apocalyptic number.

224224020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224224020020 is an abundant number, since it is smaller than the sum of its proper divisors (407993692876).

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

224224020020 is a wasteful number, since it uses less digits than its factorization.

224224020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200041 (or 11200039 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 224224020020 its reverse (20020422422), we get a palindrome (244244442442).

The spelling of 224224020020 in words is "two hundred twenty-four billion, two hundred twenty-four million, twenty thousand, twenty".