224055600 has 240 divisors, whose sum is σ = 782330880. Its totient is φ = 54604800.

The previous prime is 224055599. The next prime is 224055607. The reversal of 224055600 is 6550422.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (224055607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 706642 + ... + 706958.

It is an arithmetic number, because the mean of its divisors is an integer number (3259712).

Almost surely, 2^224055600 is an apocalyptic number.

224055600 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 224055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391165440).

224055600 is an abundant number, since it is smaller than the sum of its proper divisors (558275280).

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

224055600 is a wasteful number, since it uses less digits than its factorization.

224055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 224055600 is about 14968.4868974790. The cubic root of 224055600 is about 607.3680385358.

The spelling of 224055600 in words is "two hundred twenty-four million, fifty-five thousand, six hundred".