23800224 has 96 divisors (see below), whose sum is σ = 72285696. Its totient is φ = 6716160.

The previous prime is 23800223. The next prime is 23800229. The reversal of 23800224 is 42200832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 23800224.

It is not an unprimeable number, because it can be changed into a prime (23800223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71739 + ... + 72069.

It is an arithmetic number, because the mean of its divisors is an integer number (752976).

Almost surely, 2^23800224 is an apocalyptic number.

23800224 is a gapful number since it is divisible by the number (24) 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 23800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36142848).

23800224 is an abundant number, since it is smaller than the sum of its proper divisors (48485472).

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

23800224 is a wasteful number, since it uses less digits than its factorization.

23800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23800224 is about 4878.5473247679. The cubic root of 23800224 is about 287.6473306620.

The spelling of 23800224 in words is "twenty-three million, eight hundred thousand, two hundred twenty-four".