224089000 has 64 divisors (see below), whose sum is σ = 547223040. Its totient is φ = 85729600.

The previous prime is 224088979. The next prime is 224089001. The reversal of 224089000 is 980422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (224089001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18129 + ... + 27871.

It is an arithmetic number, because the mean of its divisors is an integer number (8550360).

Almost surely, 2^224089000 is an apocalyptic number.

224089000 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 224089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

224089000 is an abundant number, since it is smaller than the sum of its proper divisors (323134040).

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

224089000 is a wasteful number, since it uses less digits than its factorization.

224089000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 224089000 is about 14969.6025331336. The cubic root of 224089000 is about 607.3982171827.

The spelling of 224089000 in words is "two hundred twenty-four million, eighty-nine thousand".