220501764 has 360 divisors, whose sum is σ = 764739360. Its totient is φ = 54867456.

The previous prime is 220501753. The next prime is 220501777. The reversal of 220501764 is 467105022.

It is a super-2 number, since 2×220501764² = 97242055854223392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 5127927 + ... + 5127969.

It is an arithmetic number, because the mean of its divisors is an integer number (2124276).

Almost surely, 2^220501764 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 220501764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382369680).

220501764 is an abundant number, since it is smaller than the sum of its proper divisors (544237596).

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

220501764 is a wasteful number, since it uses less digits than its factorization.

220501764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 220501764 is about 14849.3018017683. The cubic root of 220501764 is about 604.1396728286.

Adding to 220501764 its reverse (467105022), we get a palindrome (687606786).

The spelling of 220501764 in words is "two hundred twenty million, five hundred one thousand, seven hundred sixty-four".