224725200 has 240 divisors, whose sum is σ = 850231296. Its totient is φ = 49651200.

The previous prime is 224725199. The next prime is 224725201. The reversal of 224725200 is 2527422.

It is an interprime number because it is at equal distance from previous prime (224725199) and next prime (224725201).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224725201) 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 47 ways as a sum of consecutive naturals, for example, 259969 + ... + 260831.

Almost surely, 2^224725200 is an apocalyptic number.

224725200 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 224725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425115648).

224725200 is an abundant number, since it is smaller than the sum of its proper divisors (625506096).

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

224725200 is a wasteful number, since it uses less digits than its factorization.

224725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 224725200 is about 14990.8372014374. The cubic root of 224725200 is about 607.9724854816.

It can be divided in two parts, 22472 and 5200, that added together give a palindrome (27672).

The spelling of 224725200 in words is "two hundred twenty-four million, seven hundred twenty-five thousand, two hundred".