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2312243120 = 245114196271
BaseRepresentation
bin1000100111010010…
…0000011110110000
312222010220010021002
42021310200132300
514213413234440
61021235221132
7111204512405
oct21164403660
95863803232
102312243120
11a87223530
125464477a8
132ab0709c5
1417d1382ac
15d7ede115
hex89d207b0

2312243120 has 80 divisors (see below), whose sum is σ = 5879623680. Its totient is φ = 838675200.

The previous prime is 2312243081. The next prime is 2312243191. The reversal of 2312243120 is 213422132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2312243092 and 2312243101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 365585 + ... + 371855.

It is an arithmetic number, because the mean of its divisors is an integer number (73495296).

Almost surely, 22312243120 is an apocalyptic number.

2312243120 is a gapful number since it is divisible by the number (20) 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 2312243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939811840).

2312243120 is an abundant number, since it is smaller than the sum of its proper divisors (3567380560).

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

2312243120 is a wasteful number, since it uses less digits than its factorization.

2312243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2312243120 is about 48085.7891689426. The cubic root of 2312243120 is about 1322.3441511216.

Adding to 2312243120 its reverse (213422132), we get a palindrome (2525665252).

The spelling of 2312243120 in words is "two billion, three hundred twelve million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 419 440 838 880 1676 2095 3352 4190 4609 6271 6704 8380 9218 12542 16760 18436 23045 25084 31355 33520 36872 46090 50168 62710 68981 73744 92180 100336 125420 137962 184360 250840 275924 344905 368720 501680 551848 689810 1103696 1379620 2627549 2759240 5255098 5518480 10510196 13137745 21020392 26275490 28903039 42040784 52550980 57806078 105101960 115612156 144515195 210203920 231224312 289030390 462448624 578060780 1156121560 2312243120