224222441443000 has 512 divisors, whose sum is σ = 745905384806400. Its totient is φ = 60716749824000.

The previous prime is 224222441442911. The next prime is 224222441443027. The reversal of 224222441443000 is 344144222422.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10428811 + ... + 23605189.

It is an arithmetic number, because the mean of its divisors is an integer number (1456846454700).

Almost surely, 2^{224222441443000} is an apocalyptic number.

224222441443000 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 224222441443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372952692403200).

224222441443000 is an abundant number, since it is smaller than the sum of its proper divisors (521682943363400).

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

224222441443000 is a wasteful number, since it uses less digits than its factorization.

224222441443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176448 (or 13176434 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 224222441443000 its reverse (344144222422), we get a palindrome (224566585665422).

The spelling of 224222441443000 in words is "two hundred twenty-four trillion, two hundred twenty-two billion, four hundred forty-one million, four hundred forty-three thousand".