224064868400 has 120 divisors (see below), whose sum is σ = 562061838240. Its totient is φ = 85677137920.

The previous prime is 224064868393. The next prime is 224064868441. The reversal of 224064868400 is 4868460422.

It is a super-2 number, since 2×224064868400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17372354 + ... + 17385246.

It is an arithmetic number, because the mean of its divisors is an integer number (4683848652).

Almost surely, 2^224064868400 is an apocalyptic number.

224064868400 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 224064868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281030919120).

224064868400 is an abundant number, since it is smaller than the sum of its proper divisors (337996969840).

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

224064868400 is a wasteful number, since it uses less digits than its factorization.

224064868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14823 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 224064868400 in words is "two hundred twenty-four billion, sixty-four million, eight hundred sixty-eight thousand, four hundred".