220342032 has 200 divisors, whose sum is σ = 689493816. Its totient is φ = 67682304.

The previous prime is 220342027. The next prime is 220342033. The reversal of 220342032 is 230243022.

It can be written as a sum of positive squares in 4 ways, for example, as 74028816 + 146313216 = 8604^2 + 12096^2 .

It is a super-2 number, since 2×220342032² = 97101222131778048, which contains 22 as substring.

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 = 220341996 and 220342014.

It is not an unprimeable number, because it can be changed into a prime (220342033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1608268 + ... + 1608404.

Almost surely, 2^220342032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344746908).

220342032 is an abundant number, since it is smaller than the sum of its proper divisors (469151784).

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

220342032 is a wasteful number, since it uses less digits than its factorization.

220342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

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

The square root of 220342032 is about 14843.9223926831. The cubic root of 220342032 is about 603.9937575192.

Adding to 220342032 its reverse (230243022), we get a palindrome (450585054).

The spelling of 220342032 in words is "two hundred twenty million, three hundred forty-two thousand, thirty-two".