220000032 has 288 divisors, whose sum is σ = 764225280. Its totient is φ = 58705920.

The previous prime is 220000013. The next prime is 220000051. The reversal of 220000032 is 230000022.

220000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220000013) and next prime (220000051).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 219999969 and 220000023.

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, 3098557 + ... + 3098627.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^220000032 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 220000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

220000032 is an abundant number, since it is smaller than the sum of its proper divisors (544225248).

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

220000032 is a wasteful number, since it uses less digits than its factorization.

220000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 220000032 is about 14832.3980529111. The cubic root of 220000032 is about 603.6811029492.

Adding to 220000032 its reverse (230000022), we get a palindrome (450000054).

The spelling of 220000032 in words is "two hundred twenty million, thirty-two", and thus it is an aban number.