220332420 has 288 divisors, whose sum is σ = 871032960. Its totient is φ = 45722880.

The previous prime is 220332419. The next prime is 220332439. The reversal of 220332420 is 24233022.

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 = 220332393 and 220332402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290682 + ... + 291438.

It is an arithmetic number, because the mean of its divisors is an integer number (3024420).

Almost surely, 2^220332420 is an apocalyptic number.

220332420 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 220332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435516480).

220332420 is an abundant number, since it is smaller than the sum of its proper divisors (650700540).

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

220332420 is a wasteful number, since it uses less digits than its factorization.

220332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

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

The square root of 220332420 is about 14843.5986202807. The cubic root of 220332420 is about 603.9849747004.

Adding to 220332420 its reverse (24233022), we get a palindrome (244565442).

The spelling of 220332420 in words is "two hundred twenty million, three hundred thirty-two thousand, four hundred twenty".