220641330 has 96 divisors (see below), whose sum is σ = 655426944. Its totient is φ = 46545408.

The previous prime is 220641269. The next prime is 220641349. The reversal of 220641330 is 33146022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 220641297 and 220641306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32382 + ... + 38598.

It is an arithmetic number, because the mean of its divisors is an integer number (6827364).

Almost surely, 2^220641330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220641330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327713472).

220641330 is an abundant number, since it is smaller than the sum of its proper divisors (434785614).

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

220641330 is a wasteful number, since it uses less digits than its factorization.

220641330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 220641330 is about 14854.0004712535. Note that the first 3 decimals coincide. The cubic root of 220641330 is about 604.2671088073.

Adding to 220641330 its reverse (33146022), we get a palindrome (253787352).

The spelling of 220641330 in words is "two hundred twenty million, six hundred forty-one thousand, three hundred thirty".