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2212305832 = 2311291515741
BaseRepresentation
bin1000001111011101…
…0001101110101000
312201011211210002001
42003313101232220
514012322241312
61003305220344
7105552201142
oct20367215650
95634753061
102212305832
11a35875130
12518a916b4
1329344c909
1416db61c92
15ce34d057
hex83dd1ba8

2212305832 has 64 divisors (see below), whose sum is σ = 4713033600. Its totient is φ = 964320000.

The previous prime is 2212305817. The next prime is 2212305833. The reversal of 2212305832 is 2385032122.

2212305832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2212305832.

It is not an unprimeable number, because it can be changed into a prime (2212305833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382482 + ... + 388222.

It is an arithmetic number, because the mean of its divisors is an integer number (73641150).

Almost surely, 22212305832 is an apocalyptic number.

2212305832 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 2212305832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356516800).

2212305832 is an abundant number, since it is smaller than the sum of its proper divisors (2500727768).

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

2212305832 is a wasteful number, since it uses less digits than its factorization.

2212305832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2212305832 is about 47035.1552777282. The cubic root of 2212305832 is about 1303.0119181928.

Adding to 2212305832 its reverse (2385032122), we get a palindrome (4597337954).

The spelling of 2212305832 in words is "two billion, two hundred twelve million, three hundred five thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 151 232 302 319 604 638 1208 1276 1661 2552 3322 4379 5741 6644 8758 11482 13288 17516 22964 35032 45928 48169 63151 96338 126302 166489 192676 252604 332978 385352 505208 665956 866891 1331912 1733782 1831379 3467564 3662758 6935128 7325516 9535801 14651032 19071602 25139839 38143204 50279678 76286408 100559356 201118712 276538229 553076458 1106152916 2212305832