224445000 has 160 divisors (see below), whose sum is σ = 755758080. Its totient is φ = 55200000.

The previous prime is 224444981. The next prime is 224445113. The reversal of 224445000 is 544422.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194425 + ... + 195575.

It is an arithmetic number, because the mean of its divisors is an integer number (4723488).

Almost surely, 2^224445000 is an apocalyptic number.

224445000 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 224445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377879040).

224445000 is an abundant number, since it is smaller than the sum of its proper divisors (531313080).

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

224445000 is a wasteful number, since it uses less digits than its factorization.

224445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 224445000 is about 14981.4885775747. The cubic root of 224445000 is about 607.7196956420.

Adding to 224445000 its reverse (544422), we get a palindrome (224989422).

The spelling of 224445000 in words is "two hundred twenty-four million, four hundred forty-five thousand".