220342320 has 240 divisors, whose sum is σ = 827304192. Its totient is φ = 52093440.

The previous prime is 220342303. The next prime is 220342337. The reversal of 220342320 is 23243022.

220342320 is a `hidden beast` number, since 2 + 2 + 0 + 342 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (220342303) and next prime (220342337).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 220342293 and 220342302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340237 + ... + 340883.

Almost surely, 2^220342320 is an apocalyptic number.

220342320 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 220342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413652096).

220342320 is an abundant number, since it is smaller than the sum of its proper divisors (606961872).

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

220342320 is a wasteful number, since it uses less digits than its factorization.

220342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 220342320 is about 14843.9320936199. The cubic root of 220342320 is about 603.9940206709.

Adding to 220342320 its reverse (23243022), we get a palindrome (243585342).

The spelling of 220342320 in words is "two hundred twenty million, three hundred forty-two thousand, three hundred twenty".