224441331400 has 192 divisors, whose sum is σ = 619132248000. Its totient is φ = 74590080000.

The previous prime is 224441331397. The next prime is 224441331409. The reversal of 224441331400 is 4133144422.

It is a super-2 number, since 2×224441331400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224441331409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849751 + ... + 2927449.

It is an arithmetic number, because the mean of its divisors is an integer number (3224647125).

Almost surely, 2^224441331400 is an apocalyptic number.

224441331400 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 224441331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309566124000).

224441331400 is an abundant number, since it is smaller than the sum of its proper divisors (394690916600).

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

224441331400 is a wasteful number, since it uses less digits than its factorization.

224441331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77840 (or 77831 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 224441331400 its reverse (4133144422), we get a palindrome (228574475822).

The spelling of 224441331400 in words is "two hundred twenty-four billion, four hundred forty-one million, three hundred thirty-one thousand, four hundred".