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2221102112 = 25295574297
BaseRepresentation
bin1000010001100011…
…0101010000100000
312201210101200022012
42010120311100200
514022100231422
61004221532052
7106020025235
oct20430652040
95653350265
102221102112
11a3a832989
1251ba14028
1329520c608
14170db178c
15ceed94e2
hex84635420

2221102112 has 48 divisors (see below), whose sum is σ = 4532756760. Its totient is φ = 1070082048.

The previous prime is 2221102099. The next prime is 2221102127. The reversal of 2221102112 is 2112011222.

It can be written as a sum of positive squares in 4 ways, for example, as 1502647696 + 718454416 = 38764^2 + 26804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514748 + ... + 519044.

Almost surely, 22221102112 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 2221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266378380).

2221102112 is an abundant number, since it is smaller than the sum of its proper divisors (2311654648).

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

2221102112 is a wasteful number, since it uses less digits than its factorization.

2221102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2221102112 is about 47128.5700186203. The cubic root of 2221102112 is about 1304.7365893778.

Adding to 2221102112 its reverse (2112011222), we get a palindrome (4333113334).

The spelling of 2221102112 in words is "two billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 557 928 1114 2228 4297 4456 8594 8912 16153 17188 17824 32306 34376 64612 68752 124613 129224 137504 249226 258448 498452 516896 996904 1993808 2393429 3987616 4786858 9573716 19147432 38294864 69409441 76589728 138818882 277637764 555275528 1110551056 2221102112