224340441000 has 128 divisors (see below), whose sum is σ = 753784012800. Its totient is φ = 55222252800.

The previous prime is 224340440953. The next prime is 224340441023. The reversal of 224340441000 is 144043422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 2837160 + ... + 2915159.

It is an arithmetic number, because the mean of its divisors is an integer number (5888937600).

Almost surely, 2^224340441000 is an apocalyptic number.

224340441000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224340441000 is an abundant number, since it is smaller than the sum of its proper divisors (529443571800).

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

224340441000 is a wasteful number, since it uses less digits than its factorization.

224340441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752356 (or 5752342 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224340441000 its reverse (144043422), we get a palindrome (224484484422).

The spelling of 224340441000 in words is "two hundred twenty-four billion, three hundred forty million, four hundred forty-one thousand".