10224032985 has 24 divisors (see below), whose sum is σ = 18764109000. Its totient is φ = 5132063232.

The previous prime is 10224032971. The next prime is 10224033023. The reversal of 10224032985 is 58923042201.

It is a happy number.

10224032985 is a `hidden beast` number, since 10 + 2 + 240 + 329 + 85 = 666.

10224032985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 656845641 + 9567187344 = 25629^2 + 97812^2 .

It is not a de Polignac number, because 10224032985 - 2¹³ = 10224024793 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6681610 + ... + 6683139.

It is an arithmetic number, because the mean of its divisors is an integer number (781837875).

Almost surely, 2^10224032985 is an apocalyptic number.

10224032985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10224032985 is a deficient number, since it is larger than the sum of its proper divisors (8540076015).

10224032985 is a wasteful number, since it uses less digits than its factorization.

10224032985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364777 (or 13364774 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10224032985 in words is "ten billion, two hundred twenty-four million, thirty-two thousand, nine hundred eighty-five".