224323220224 has 108 divisors (see below), whose sum is σ = 484234228800. Its totient is φ = 103583721472.

The previous prime is 224323220213. The next prime is 224323220227. The reversal of 224323220224 is 422022323422.

It is a super-2 number, since 2×224323220224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224323220192 and 224323220201.

It is not an unprimeable number, because it can be changed into a prime (224323220227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3898737 + ... + 3955855.

Almost surely, 2^224323220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224323220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242117114400).

224323220224 is an abundant number, since it is smaller than the sum of its proper divisors (259911008576).

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

224323220224 is an equidigital number, since it uses as much as digits as its factorization.

224323220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57210 (or 57173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 224323220224 its reverse (422022323422), we get a palindrome (646345543646).

The spelling of 224323220224 in words is "two hundred twenty-four billion, three hundred twenty-three million, two hundred twenty thousand, two hundred twenty-four".