220210920 has 256 divisors, whose sum is σ = 777600000. Its totient is φ = 55351296.

The previous prime is 220210883. The next prime is 220210937. The reversal of 220210920 is 29012022.

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 = 220210893 and 220210902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2474236 + ... + 2474324.

It is an arithmetic number, because the mean of its divisors is an integer number (3037500).

Almost surely, 2^220210920 is an apocalyptic number.

220210920 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 220210920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800000).

220210920 is an abundant number, since it is smaller than the sum of its proper divisors (557389080).

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

220210920 is a wasteful number, since it uses less digits than its factorization.

220210920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 220210920 is about 14839.5053825928. The cubic root of 220210920 is about 603.8739338959.

Adding to 220210920 its reverse (29012022), we get a palindrome (249222942).

The spelling of 220210920 in words is "two hundred twenty million, two hundred ten thousand, nine hundred twenty".