224203104 has 72 divisors (see below), whose sum is σ = 644815080. Its totient is φ = 73886208.

The previous prime is 224203079. The next prime is 224203117. The reversal of 224203104 is 401302422.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21259 + ... + 30005.

It is an arithmetic number, because the mean of its divisors is an integer number (8955765).

Almost surely, 2^224203104 is an apocalyptic number.

224203104 is a gapful number since it is divisible by the number (24) 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 224203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322407540).

224203104 is an abundant number, since it is smaller than the sum of its proper divisors (420611976).

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

224203104 is a wasteful number, since it uses less digits than its factorization.

224203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224203104 is about 14973.4132381365. The cubic root of 224203104 is about 607.5012934993.

Adding to 224203104 its reverse (401302422), we get a palindrome (625505526).

The spelling of 224203104 in words is "two hundred twenty-four million, two hundred three thousand, one hundred four".