224323020 has 144 divisors (see below), whose sum is σ = 714194208. Its totient is φ = 59097600.

The previous prime is 224323019. The next prime is 224323067. The reversal of 224323020 is 20323422.

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

It is a junction number, because it is equal to n+sod(n) for n = 224322984 and 224323002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490632 + ... + 491088.

It is an arithmetic number, because the mean of its divisors is an integer number (4959682).

Almost surely, 2^224323020 is an apocalyptic number.

224323020 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 224323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357097104).

224323020 is an abundant number, since it is smaller than the sum of its proper divisors (489871188).

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

224323020 is a wasteful number, since it uses less digits than its factorization.

224323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 224323020 is about 14977.4170002708. The cubic root of 224323020 is about 607.6095824268.

Adding to 224323020 its reverse (20323422), we get a palindrome (244646442).

It can be divided in two parts, 22432 and 3020, that added together give a palindrome (25452).

The spelling of 224323020 in words is "two hundred twenty-four million, three hundred twenty-three thousand, twenty".