224002240 has 112 divisors (see below), whose sum is σ = 665097984. Its totient is φ = 69811200.

The previous prime is 224002193. The next prime is 224002301. The reversal of 224002240 is 42200422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 20095 + ... + 29185.

Almost surely, 2^224002240 is an apocalyptic number.

224002240 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 224002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332548992).

224002240 is an abundant number, since it is smaller than the sum of its proper divisors (441095744).

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

224002240 is a wasteful number, since it uses less digits than its factorization.

224002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 224002240 is about 14966.7043800564. The cubic root of 224002240 is about 607.3198187610.

Adding to 224002240 its reverse (42200422), we get a palindrome (266202662).

The spelling of 224002240 in words is "two hundred twenty-four million, two thousand, two hundred forty".