224033420 has 48 divisors (see below), whose sum is σ = 510148800. Its totient is φ = 82150656.

The previous prime is 224033413. The next prime is 224033441. The reversal of 224033420 is 24330422.

It is a super-3 number, since 3×224033420³ (a number of 26 digits) contains 333 as substring.

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 = 224033392 and 224033401.

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, 35849 + ... + 41631.

It is an arithmetic number, because the mean of its divisors is an integer number (10628100).

Almost surely, 2^224033420 is an apocalyptic number.

224033420 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 224033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255074400).

224033420 is an abundant number, since it is smaller than the sum of its proper divisors (286115380).

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

224033420 is a wasteful number, since it uses less digits than its factorization.

224033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 224033420 is about 14967.7459892931. The cubic root of 224033420 is about 607.3479960885.

Adding to 224033420 its reverse (24330422), we get a palindrome (248363842).

The spelling of 224033420 in words is "two hundred twenty-four million, thirty-three thousand, four hundred twenty".