224241000 has 64 divisors (see below), whose sum is σ = 699641280. Its totient is φ = 59796800.

The previous prime is 224240971. The next prime is 224241029. The reversal of 224241000 is 142422.

It is an interprime number because it is at equal distance from previous prime (224240971) and next prime (224241029).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34374 + ... + 40373.

It is an arithmetic number, because the mean of its divisors is an integer number (10931895).

Almost surely, 2^224241000 is an apocalyptic number.

224241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224241000 is an abundant number, since it is smaller than the sum of its proper divisors (475400280).

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

224241000 is a wasteful number, since it uses less digits than its factorization.

224241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74771 (or 74757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 224241000 is about 14974.6786276033. The cubic root of 224241000 is about 607.5355192699.

Adding to 224241000 its reverse (142422), we get a palindrome (224383422).

The spelling of 224241000 in words is "two hundred twenty-four million, two hundred forty-one thousand".