224889000 has 128 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 51398400.

The previous prime is 224888999. The next prime is 224889023. The reversal of 224889000 is 988422.

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 31 ways as a sum of consecutive naturals, for example, 15646 + ... + 26354.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^224889000 is an apocalyptic number.

224889000 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 224889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

224889000 is an abundant number, since it is smaller than the sum of its proper divisors (577075800).

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

224889000 is a wasteful number, since it uses less digits than its factorization.

224889000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10726 counting only the distinct ones).

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

The square root of 224889000 is about 14996.2995435541. The cubic root of 224889000 is about 608.1201646725.

The spelling of 224889000 in words is "two hundred twenty-four million, eight hundred eighty-nine thousand".