224980800 has 168 divisors, whose sum is σ = 805415712. Its totient is φ = 54528000.

The previous prime is 224980787. The next prime is 224980837. The reversal of 224980800 is 8089422.

224980800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50670 + ... + 54930.

Almost surely, 2^224980800 is an apocalyptic number.

224980800 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 224980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402707856).

224980800 is an abundant number, since it is smaller than the sum of its proper divisors (580434912).

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

224980800 is a wasteful number, since it uses less digits than its factorization.

224980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 224980800 is about 14999.3599863461. The cubic root of 224980800 is about 608.2028985795.

The spelling of 224980800 in words is "two hundred twenty-four million, nine hundred eighty thousand, eight hundred".