220045504 has 56 divisors (see below), whose sum is σ = 516270240. Its totient is φ = 91047936.

The previous prime is 220045481. The next prime is 220045513. The reversal of 220045504 is 405540022.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×220045504² = 96840047661228032, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4524 + ... + 21460.

Almost surely, 2^220045504 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 220045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258135120).

220045504 is an abundant number, since it is smaller than the sum of its proper divisors (296224736).

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

220045504 is a wasteful number, since it uses less digits than its factorization.

220045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16985 (or 16975 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 220045504 is about 14833.9308344080. The cubic root of 220045504 is about 603.7226918765.

Adding to 220045504 its reverse (405540022), we get a palindrome (625585526).

The spelling of 220045504 in words is "two hundred twenty million, forty-five thousand, five hundred four".