220400224420 has 24 divisors (see below), whose sum is σ = 462934503864. Its totient is φ = 88142178816.

The previous prime is 220400224417. The next prime is 220400224459. The reversal of 220400224420 is 24422004022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25114008676 + 195286215744 = 158474^2 + 441912^2 .

It is a super-3 number, since 3×220400224420³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220400224391 and 220400224400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018309 + ... + 1215628.

It is an arithmetic number, because the mean of its divisors is an integer number (19288937661).

Almost surely, 2^220400224420 is an apocalyptic number.

220400224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220400224420 is an abundant number, since it is smaller than the sum of its proper divisors (242534279444).

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

220400224420 is a wasteful number, since it uses less digits than its factorization.

220400224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238879 (or 2238877 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 220400224420 its reverse (24422004022), we get a palindrome (244822228442).

The spelling of 220400224420 in words is "two hundred twenty billion, four hundred million, two hundred twenty-four thousand, four hundred twenty".