224053800 has 96 divisors (see below), whose sum is σ = 699449280. Its totient is φ = 59328000.

The previous prime is 224053799. The next prime is 224053853. The reversal of 224053800 is 8350422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89364 + ... + 91836.

It is an arithmetic number, because the mean of its divisors is an integer number (7285930).

Almost surely, 2^224053800 is an apocalyptic number.

224053800 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 224053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349724640).

224053800 is an abundant number, since it is smaller than the sum of its proper divisors (475395480).

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

224053800 is a wasteful number, since it uses less digits than its factorization.

224053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 224053800 is about 14968.4267710404. The cubic root of 224053800 is about 607.3664120565.

The spelling of 224053800 in words is "two hundred twenty-four million, fifty-three thousand, eight hundred".