220433220 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 46080000.

The previous prime is 220433197. The next prime is 220433249. The reversal of 220433220 is 22334022.

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 = 220433193 and 220433202.

It is a congruent number.

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, 878095 + ... + 878345.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^220433220 is an apocalyptic number.

220433220 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 220433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

220433220 is an abundant number, since it is smaller than the sum of its proper divisors (611723196).

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

220433220 is a wasteful number, since it uses less digits than its factorization.

220433220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

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

The square root of 220433220 is about 14846.9936350764. The cubic root of 220433220 is about 604.0770664642.

Adding to 220433220 its reverse (22334022), we get a palindrome (242767242).

The spelling of 220433220 in words is "two hundred twenty million, four hundred thirty-three thousand, two hundred twenty".