224120320 has 40 divisors (see below), whose sum is σ = 537369624. Its totient is φ = 89647104.

The previous prime is 224120311. The next prime is 224120353. The reversal of 224120320 is 23021422.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 224120294 and 224120303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41214 + ... + 46333.

Almost surely, 2^224120320 is an apocalyptic number.

224120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224120320 is an abundant number, since it is smaller than the sum of its proper divisors (313249304).

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

224120320 is an frugal number, since it uses more digits than its factorization.

224120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87570 (or 87554 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 224120320 is about 14970.6486165430. The cubic root of 224120320 is about 607.4265137166.

Adding to 224120320 its reverse (23021422), we get a palindrome (247141742).

The spelling of 224120320 in words is "two hundred twenty-four million, one hundred twenty thousand, three hundred twenty".