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2313322112 = 2729738537
BaseRepresentation
bin1000100111100010…
…0111111010000000
312222012220221100202
42021320213322000
514214202301422
61021314304332
7111216625223
oct21170477200
95865827322
102313322112
11a878a0162
125468880a8
132ab35ab6a
1417d3395ba
15d8153b92
hex89e27e80

2313322112 has 64 divisors (see below), whose sum is σ = 4833361800. Its totient is φ = 1101348864.

The previous prime is 2313322097. The next prime is 2313322139. The reversal of 2313322112 is 2112233132.

It can be written as a sum of positive squares in 4 ways, for example, as 2275671616 + 37650496 = 47704^2 + 6136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 266708 + ... + 275244.

Almost surely, 22313322112 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 2313322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416680900).

2313322112 is an abundant number, since it is smaller than the sum of its proper divisors (2520039688).

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

2313322112 is an equidigital number, since it uses as much as digits as its factorization.

2313322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8653 (or 8641 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 2313322112 is about 48097.0073081476. The cubic root of 2313322112 is about 1322.5498066703.

Adding to 2313322112 its reverse (2112233132), we get a palindrome (4425555244).

The spelling of 2313322112 in words is "two billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 232 292 464 584 928 1168 1856 2117 2336 3712 4234 4672 8468 8537 9344 16936 17074 33872 34148 67744 68296 135488 136592 247573 270976 273184 495146 546368 623201 990292 1092736 1246402 1980584 2492804 3961168 4985608 7922336 9971216 15844672 18072829 19942432 31689344 36145658 39884864 72291316 79769728 144582632 289165264 578330528 1156661056 2313322112