220241320 has 32 divisors (see below), whose sum is σ = 533662920. Its totient is φ = 81319680.

The previous prime is 220241311. The next prime is 220241323. The reversal of 220241320 is 23142022.

220241320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83210884 + 137030436 = 9122^2 + 11706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220241294 and 220241303.

It is not an unprimeable number, because it can be changed into a prime (220241323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211251 + ... + 212290.

Almost surely, 2^220241320 is an apocalyptic number.

220241320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220241320 is an abundant number, since it is smaller than the sum of its proper divisors (313421600).

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

220241320 is a wasteful number, since it uses less digits than its factorization.

220241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423565 (or 423561 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 220241320 is about 14840.5296401442. The cubic root of 220241320 is about 603.9017207754.

Adding to 220241320 its reverse (23142022), we get a palindrome (243383342).

The spelling of 220241320 in words is "two hundred twenty million, two hundred forty-one thousand, three hundred twenty".