224608000 has 72 divisors (see below), whose sum is σ = 559606320. Its totient is φ = 89830400.

The previous prime is 224607997. The next prime is 224608031. The reversal of 224608000 is 806422.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 28491 + ... + 35509.

It is an arithmetic number, because the mean of its divisors is an integer number (7772310).

Almost surely, 2^224608000 is an apocalyptic number.

224608000 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 224608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279803160).

224608000 is an abundant number, since it is smaller than the sum of its proper divisors (334998320).

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

224608000 is an frugal number, since it uses more digits than its factorization.

224608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 224608000 is about 14986.9276371109. The cubic root of 224608000 is about 607.8667759811.

The spelling of 224608000 in words is "two hundred twenty-four million, six hundred eight thousand".