24130200 has 96 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 6364800.

The previous prime is 24130199. The next prime is 24130201. The reversal of 24130200 is 203142.

It is an interprime number because it is at equal distance from previous prime (24130199) and next prime (24130201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78447 + ... + 78753.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 2^24130200 is an apocalyptic number.

24130200 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 24130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

24130200 is an abundant number, since it is smaller than the sum of its proper divisors (51489960).

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

24130200 is a wasteful number, since it uses less digits than its factorization.

24130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 24130200 is about 4912.2499936384. The cubic root of 24130200 is about 288.9705872374.

Adding to 24130200 its reverse (203142), we get a palindrome (24333342).

The spelling of 24130200 in words is "twenty-four million, one hundred thirty thousand, two hundred".