220210020 has 72 divisors (see below), whose sum is σ = 669682104. Its totient is φ = 58572288.

The previous prime is 220209971. The next prime is 220210033. The reversal of 220210020 is 20012022.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 211353444 = 2976^2 + 14538^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220209984 and 220210011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80922 + ... + 83598.

Almost surely, 2^220210020 is an apocalyptic number.

220210020 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 220210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334841052).

220210020 is an abundant number, since it is smaller than the sum of its proper divisors (449472084).

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

220210020 is a wasteful number, since it uses less digits than its factorization.

220210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220210020 is about 14839.4750581009. The cubic root of 220210020 is about 603.8731112190.

Adding to 220210020 its reverse (20012022), we get a palindrome (240222042).

The spelling of 220210020 in words is "two hundred twenty million, two hundred ten thousand, twenty".