224333120 has 112 divisors (see below), whose sum is σ = 589458816. Its totient is φ = 80640000.

The previous prime is 224333117. The next prime is 224333231. The reversal of 224333120 is 21333422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224333092 and 224333101.

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 15 ways as a sum of consecutive naturals, for example, 355205 + ... + 355835.

Almost surely, 2^224333120 is an apocalyptic number.

224333120 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 224333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294729408).

224333120 is an abundant number, since it is smaller than the sum of its proper divisors (365125696).

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

224333120 is a wasteful number, since it uses less digits than its factorization.

224333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 224333120 is about 14977.7541707694. The cubic root of 224333120 is about 607.6187013671.

Adding to 224333120 its reverse (21333422), we get a palindrome (245666542).

The spelling of 224333120 in words is "two hundred twenty-four million, three hundred thirty-three thousand, one hundred twenty".