224006202641 has 48 divisors (see below), whose sum is σ = 266683118400. Its totient is φ = 187361351424.

The previous prime is 224006202619. The next prime is 224006202649. The reversal of 224006202641 is 146202600422.

224006202641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-224006202641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224006202649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6993635 + ... + 7025591.

It is an arithmetic number, because the mean of its divisors is an integer number (5555898300).

Almost surely, 2^224006202641 is an apocalyptic number.

It is an amenable number.

224006202641 is a deficient number, since it is larger than the sum of its proper divisors (42676915759).

224006202641 is a wasteful number, since it uses less digits than its factorization.

224006202641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32098 (or 32085 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 224006202641 in words is "two hundred twenty-four billion, six million, two hundred two thousand, six hundred forty-one".