224960000 has 200 divisors, whose sum is σ = 607211880. Its totient is φ = 82944000.

The previous prime is 224959967. The next prime is 224960003. The reversal of 224960000 is 69422.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224960003) 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 19 ways as a sum of consecutive naturals, for example, 6079982 + ... + 6080018.

Almost surely, 2^224960000 is an apocalyptic number.

224960000 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 224960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303605940).

224960000 is an abundant number, since it is smaller than the sum of its proper divisors (382251880).

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

224960000 is an frugal number, since it uses more digits than its factorization.

224960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 224960000 is about 14998.6666074021. Note that the first 4 decimals coincide. The cubic root of 224960000 is about 608.1841547428.

The spelling of 224960000 in words is "two hundred twenty-four million, nine hundred sixty thousand".