16202242224 has 240 divisors, whose sum is σ = 54986480640. Its totient is φ = 4347648000.

The previous prime is 16202242223. The next prime is 16202242249. The reversal of 16202242224 is 42224220261.

16202242224 is a `hidden beast` number, since 16 + 202 + 2 + 422 + 24 = 666.

16202242224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16202242223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12868507 + ... + 12869765.

It is an arithmetic number, because the mean of its divisors is an integer number (229110336).

Almost surely, 2^16202242224 is an apocalyptic number.

16202242224 is a gapful number since it is divisible by the number (14) 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 16202242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27493240320).

16202242224 is an abundant number, since it is smaller than the sum of its proper divisors (38784238416).

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

16202242224 is a wasteful number, since it uses less digits than its factorization.

16202242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 16202242224 its reverse (42224220261), we get a palindrome (58426462485).

The spelling of 16202242224 in words is "sixteen billion, two hundred two million, two hundred forty-two thousand, two hundred twenty-four".