220210232220 has 144 divisors (see below), whose sum is σ = 729021541248. Its totient is φ = 53360426880.

The previous prime is 220210232201. The next prime is 220210232233. The reversal of 220210232220 is 22232012022.

220210232220 is a `hidden beast` number, since 2 + 2 + 0 + 210 + 232 + 220 = 666.

It is a super-2 number, since 2×220210232220² (a number of 23 digits) contains 22 as substring.

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 = 220210232193 and 220210232202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4623367 + ... + 4670753.

It is an arithmetic number, because the mean of its divisors is an integer number (5062649592).

Almost surely, 2^220210232220 is an apocalyptic number.

220210232220 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 220210232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364510770624).

220210232220 is an abundant number, since it is smaller than the sum of its proper divisors (508811309028).

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

220210232220 is a wasteful number, since it uses less digits than its factorization.

220210232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49760 (or 49755 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220210232220 its reverse (22232012022), we get a palindrome (242442244242).

It can be divided in two parts, 2202102 and 32220, that added together give a palindrome (2234322).

The spelling of 220210232220 in words is "two hundred twenty billion, two hundred ten million, two hundred thirty-two thousand, two hundred twenty".