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2220330112 = 277111323143
BaseRepresentation
bin1000010001010111…
…1000110010000000
312201201221110022121
42010111320302000
514021401030422
61004153214024
7106010331430
oct20425706200
95651843277
102220330112
11a3a355970
1251b701314
13294ccc100
14170c502c0
15cedd58c7
hex84578c80

2220330112 has 384 divisors, whose sum is σ = 6307614720. Its totient is φ = 754790400.

The previous prime is 2220330089. The next prime is 2220330131. The reversal of 2220330112 is 2110330222.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 51635563 + ... + 51635605.

It is an arithmetic number, because the mean of its divisors is an integer number (16426080).

Almost surely, 22220330112 is an apocalyptic number.

2220330112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153807360).

2220330112 is an abundant number, since it is smaller than the sum of its proper divisors (4087284608).

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

2220330112 is a wasteful number, since it uses less digits than its factorization.

2220330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2220330112 is about 47120.3789458447. The cubic root of 2220330112 is about 1304.5854071692.

Adding to 2220330112 its reverse (2110330222), we get a palindrome (4330660334).

The spelling of 2220330112 in words is "two billion, two hundred twenty million, three hundred thirty thousand, one hundred twelve".