2202303220 has 72 divisors (see below), whose sum is σ = 5064920280. Its totient is φ = 803911680.

The previous prime is 2202303163. The next prime is 2202303221. The reversal of 2202303220 is 223032022.

It can be written as a sum of positive squares in 12 ways, for example, as 2142023524 + 60279696 = 46282^2 + 7764^2 .

It is a super-3 number, since 3×2202303220³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202303194 and 2202303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202303221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297160 + ... + 304480.

It is an arithmetic number, because the mean of its divisors is an integer number (70346115).

Almost surely, 2^2202303220 is an apocalyptic number.

2202303220 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 2202303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532460140).

2202303220 is an abundant number, since it is smaller than the sum of its proper divisors (2862617060).

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

2202303220 is a wasteful number, since it uses less digits than its factorization.

2202303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2202303220 is about 46928.7035832016. The cubic root of 2202303220 is about 1301.0451594991.

Adding to 2202303220 its reverse (223032022), we get a palindrome (2425335242).

The spelling of 2202303220 in words is "two billion, two hundred two million, three hundred three thousand, two hundred twenty".