224034444000 has 384 divisors, whose sum is σ = 850950696960. Its totient is φ = 57144384000.

The previous prime is 224034443999. The next prime is 224034444041. The reversal of 224034444000 is 444430422.

It is a happy number.

224034444000 is a `hidden beast` number, since 224 + 0 + 34 + 4 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2438905 + ... + 2529095.

It is an arithmetic number, because the mean of its divisors is an integer number (2216017440).

Almost surely, 2^224034444000 is an apocalyptic number.

224034444000 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 224034444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425475348480).

224034444000 is an abundant number, since it is smaller than the sum of its proper divisors (626916252960).

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

224034444000 is a wasteful number, since it uses less digits than its factorization.

224034444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90248 (or 90224 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 224034444000 its reverse (444430422), we get a palindrome (224478874422).

The spelling of 224034444000 in words is "two hundred twenty-four billion, thirty-four million, four hundred forty-four thousand".