224000208 has 80 divisors (see below), whose sum is σ = 651863040. Its totient is φ = 73633536.

The previous prime is 224000159. The next prime is 224000209. The reversal of 224000208 is 802000422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224000209) 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, 27985 + ... + 35087.

It is an arithmetic number, because the mean of its divisors is an integer number (8148288).

Almost surely, 2^224000208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325931520).

224000208 is an abundant number, since it is smaller than the sum of its proper divisors (427862832).

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

224000208 is a wasteful number, since it uses less digits than its factorization.

224000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224000208 is about 14966.6364958864. The cubic root of 224000208 is about 607.3179823544.

The spelling of 224000208 in words is "two hundred twenty-four million, two hundred eight", and thus it is an aban number.