243224061000 has 256 divisors, whose sum is σ = 771527877120. Its totient is φ = 63781760000.

The previous prime is 243224060983. The next prime is 243224061007. The reversal of 243224061000 is 160422342.

It is a super-3 number, since 3×243224061000³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (243224061007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98191762 + ... + 98194238.

It is an arithmetic number, because the mean of its divisors is an integer number (3013780770).

Almost surely, 2^243224061000 is an apocalyptic number.

243224061000 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 243224061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385763938560).

243224061000 is an abundant number, since it is smaller than the sum of its proper divisors (528303816120).

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

243224061000 is a wasteful number, since it uses less digits than its factorization.

243224061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 243224061000 its reverse (160422342), we get a palindrome (243384483342).

The spelling of 243224061000 in words is "two hundred forty-three billion, two hundred twenty-four million, sixty-one thousand".