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220330112 = 2711315233
BaseRepresentation
bin11010010000111…
…11100010000000
3120100120221002112
431020133202000
5422401030422
633510234452
75313526562
oct1510374200
9510527075
10220330112
11103409302
1261955a28
1336854a62
1421395332
1514522ee2
hexd21f880

220330112 has 32 divisors (see below), whose sum is σ = 442852380. Its totient is φ = 109182976.

The previous prime is 220330073. The next prime is 220330157. The reversal of 220330112 is 211033022.

It is a happy number.

220330112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166513216 + 53816896 = 12904^2 + 7336^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 6848 + ... + 22080.

Almost surely, 2220330112 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 220330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221426190).

220330112 is an abundant number, since it is smaller than the sum of its proper divisors (222522268).

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

220330112 is a wasteful number, since it uses less digits than its factorization.

220330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 220330112 is about 14843.5208761264. The cubic root of 220330112 is about 603.9828657625.

Adding to 220330112 its reverse (211033022), we get a palindrome (431363134).

The spelling of 220330112 in words is "two hundred twenty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 15233 30466 60932 121864 243728 487456 974912 1721329 1949824 3442658 6885316 13770632 27541264 55082528 110165056 220330112