224030003220 has 144 divisors (see below), whose sum is σ = 698134928400. Its totient is φ = 58116556800.

The previous prime is 224030003209. The next prime is 224030003221. The reversal of 224030003220 is 22300030422.

224030003220 is a `hidden beast` number, since 2 + 2 + 40 + 300 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42891238404 + 181138764816 = 207102^2 + 425604^2 .

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 = 224030003193 and 224030003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224030003221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2532130 + ... + 2619110.

It is an arithmetic number, because the mean of its divisors is an integer number (4848159225).

Almost surely, 2^224030003220 is an apocalyptic number.

224030003220 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 224030003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349067464200).

224030003220 is an abundant number, since it is smaller than the sum of its proper divisors (474104925180).

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

224030003220 is a wasteful number, since it uses less digits than its factorization.

224030003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87386 (or 87381 counting only the distinct ones).

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

Adding to 224030003220 its reverse (22300030422), we get a palindrome (246330033642).

The spelling of 224030003220 in words is "two hundred twenty-four billion, thirty million, three thousand, two hundred twenty".