220005528 has 64 divisors (see below), whose sum is σ = 564844800. Its totient is φ = 71383680.

The previous prime is 220005523. The next prime is 220005547. The reversal of 220005528 is 825500022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 220005498 and 220005507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220005523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150063 + ... + 151521.

It is an arithmetic number, because the mean of its divisors is an integer number (8825700).

Almost surely, 2^220005528 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 220005528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282422400).

220005528 is an abundant number, since it is smaller than the sum of its proper divisors (344839272).

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

220005528 is a wasteful number, since it uses less digits than its factorization.

220005528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 220005528 is about 14832.5833218627. The cubic root of 220005528 is about 603.6861299237.

The spelling of 220005528 in words is "two hundred twenty million, five thousand, five hundred twenty-eight".