224240838400 has 216 divisors, whose sum is σ = 571884178320. Its totient is φ = 86988718080.

The previous prime is 224240838359. The next prime is 224240838413. The reversal of 224240838400 is 4838042422.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 224240838400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82168236 + ... + 82170964.

Almost surely, 2^224240838400 is an apocalyptic number.

224240838400 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 224240838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285942089160).

224240838400 is an abundant number, since it is smaller than the sum of its proper divisors (347643339920).

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

224240838400 is a wasteful number, since it uses less digits than its factorization.

224240838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 224240838400 in words is "two hundred twenty-four billion, two hundred forty million, eight hundred thirty-eight thousand, four hundred".