224828207907072 has 2304 divisors, whose sum is σ = 841774210744320. Its totient is φ = 51494820249600.

The previous prime is 224828207907053. The next prime is 224828207907109. The reversal of 224828207907072 is 270709702828422.

It is a happy number.

It is a super-2 number, since 2×224828207907072² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224828207906997 and 224828207907015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 130486480803 + ... + 130486482525.

It is an arithmetic number, because the mean of its divisors is an integer number (365353390080).

Almost surely, 2^{224828207907072} is an apocalyptic number.

224828207907072 is a gapful number since it is divisible by the number (22) 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 224828207907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420887105372160).

224828207907072 is an abundant number, since it is smaller than the sum of its proper divisors (616946002837248).

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

224828207907072 is a wasteful number, since it uses less digits than its factorization.

224828207907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 60.

The spelling of 224828207907072 in words is "two hundred twenty-four trillion, eight hundred twenty-eight billion, two hundred seven million, nine hundred seven thousand, seventy-two".