220138752 has 144 divisors (see below), whose sum is σ = 616404992. Its totient is φ = 69672960.

The previous prime is 220138637. The next prime is 220138753. The reversal of 220138752 is 257831022.

It is a super-2 number, since 2×220138752² = 96922140264235008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220138753) 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, 1733313 + ... + 1733439.

Almost surely, 2^220138752 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 220138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308202496).

220138752 is an abundant number, since it is smaller than the sum of its proper divisors (396266240).

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

220138752 is a wasteful number, since it uses less digits than its factorization.

220138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 220138752 is about 14837.0735659024. The cubic root of 220138752 is about 603.8079590634.

Adding to 220138752 its reverse (257831022), we get a palindrome (477969774).

The spelling of 220138752 in words is "two hundred twenty million, one hundred thirty-eight thousand, seven hundred fifty-two".