24145000200 has 72 divisors (see below), whose sum is σ = 81086965050. Its totient is φ = 6438666240.

The previous prime is 24145000199. The next prime is 24145000207. The reversal of 24145000200 is 200054142.

24145000200 is a `hidden beast` number, since 2 + 414 + 50 + 0 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15044984964 + 9100015236 = 122658^2 + 95394^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (24145000207) 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 17 ways as a sum of consecutive naturals, for example, 6705145 + ... + 6708744.

Almost surely, 2^24145000200 is an apocalyptic number.

24145000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24145000200 is an abundant number, since it is smaller than the sum of its proper divisors (56941964850).

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

24145000200 is a wasteful number, since it uses less digits than its factorization.

24145000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13413911 (or 13413899 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 24145000200 its reverse (200054142), we get a palindrome (24345054342).

The spelling of 24145000200 in words is "twenty-four billion, one hundred forty-five million, two hundred", and thus it is an aban number.