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2220112332 = 2232379717183
BaseRepresentation
bin1000010001010100…
…0011100111001100
312201201112101120200
42010111003213030
514021322043312
61004144413500
7106005433464
oct20425034714
95651471520
102220112332
11a3a217289
1251b617290
13294c53c49
14170bd4ba4
15ced910dc
hex845439cc

2220112332 has 72 divisors (see below), whose sum is σ = 5823382656. Its totient is φ = 712571904.

The previous prime is 2220112253. The next prime is 2220112333. The reversal of 2220112332 is 2332110222.

2220112332 is a `hidden beast` number, since 2 + 220 + 112 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2220112333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120613 + ... + 137795.

Almost surely, 22220112332 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 2220112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911691328).

2220112332 is an abundant number, since it is smaller than the sum of its proper divisors (3603270324).

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

2220112332 is a wasteful number, since it uses less digits than its factorization.

2220112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17327 (or 17322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2220112332 is about 47118.0679994416. The cubic root of 2220112332 is about 1304.5427525660.

Adding to 2220112332 its reverse (2332110222), we get a palindrome (4552222554).

The spelling of 2220112332 in words is "two billion, two hundred twenty million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 97 111 148 194 222 291 333 388 444 582 666 873 1164 1332 1746 3492 3589 7178 10767 14356 17183 21534 32301 34366 43068 51549 64602 68732 103098 129204 154647 206196 309294 618588 635771 1271542 1666751 1907313 2543084 3333502 3814626 5000253 5721939 6667004 7629252 10000506 11443878 15000759 20001012 22887756 30001518 60003036 61669787 123339574 185009361 246679148 370018722 555028083 740037444 1110056166 2220112332