220210320 has 120 divisors (see below), whose sum is σ = 750451968. Its totient is φ = 53377280.

The previous prime is 220210279. The next prime is 220210327. The reversal of 220210320 is 23012022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220210296 and 220210305.

It is not an unprimeable number, because it can be changed into a prime (220210327) 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, 25249 + ... + 32831.

Almost surely, 2^220210320 is an apocalyptic number.

220210320 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 220210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375225984).

220210320 is an abundant number, since it is smaller than the sum of its proper divisors (530241648).

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

220210320 is a wasteful number, since it uses less digits than its factorization.

220210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220210320 is about 14839.4851662718. The cubic root of 220210320 is about 603.8733854449.

Adding to 220210320 its reverse (23012022), we get a palindrome (243222342).

The spelling of 220210320 in words is "two hundred twenty million, two hundred ten thousand, three hundred twenty".