10220313220 has 96 divisors (see below), whose sum is σ = 23610152160. Its totient is φ = 3693465600.

The previous prime is 10220313211. The next prime is 10220313221. The reversal of 10220313220 is 2231302201.

It can be written as a sum of positive squares in 16 ways, for example, as 2300737156 + 7919576064 = 47966^2 + 88992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220313194 and 10220313203.

It is not an unprimeable number, because it can be changed into a prime (10220313221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334954 + ... + 2339326.

It is an arithmetic number, because the mean of its divisors is an integer number (245939085).

Almost surely, 2^10220313220 is an apocalyptic number.

10220313220 is a gapful number since it is divisible by the number (10) 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 10220313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805076080).

10220313220 is an abundant number, since it is smaller than the sum of its proper divisors (13389838940).

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

10220313220 is a wasteful number, since it uses less digits than its factorization.

10220313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10220313220 its reverse (2231302201), we get a palindrome (12451615421).

The spelling of 10220313220 in words is "ten billion, two hundred twenty million, three hundred thirteen thousand, two hundred twenty".