220514112 has 252 divisors, whose sum is σ = 793133796. Its totient is φ = 58060800.

The previous prime is 220514111. The next prime is 220514137. The reversal of 220514112 is 211415022.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 112021056 = 10416^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×220514112² = 97252947182297088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220514111) 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 35 ways as a sum of consecutive naturals, for example, 366612 + ... + 367212.

Almost surely, 2^220514112 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 220514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396566898).

220514112 is an abundant number, since it is smaller than the sum of its proper divisors (572619684).

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

220514112 is a wasteful number, since it uses less digits than its factorization.

220514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 220514112 is about 14849.7175730719. The cubic root of 220514112 is about 604.1509498017.

Adding to 220514112 its reverse (211415022), we get a palindrome (431929134).

The spelling of 220514112 in words is "two hundred twenty million, five hundred fourteen thousand, one hundred twelve".