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2296742112 = 253272162751
BaseRepresentation
bin1000100011100101…
…1000000011100000
312221001201120212200
42020321120003200
514200431221422
61015523053200
7110625662100
oct21071300340
95831646780
102296742112
11a794a6385
12541211200
132a7aa4302
1417b061200
15d697b2ac
hex88e580e0

2296742112 has 108 divisors (see below), whose sum is σ = 7597751616. Its totient is φ = 656208000.

The previous prime is 2296742093. The next prime is 2296742137. The reversal of 2296742112 is 2112476922.

2296742112 is a `hidden beast` number, since 229 + 6 + 7 + 421 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67264 + ... + 95487.

It is an arithmetic number, because the mean of its divisors is an integer number (70349552).

Almost surely, 22296742112 is an apocalyptic number.

It is an amenable number.

2296742112 is an abundant number, since it is smaller than the sum of its proper divisors (5301009504).

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

2296742112 is a wasteful number, since it uses less digits than its factorization.

2296742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162781 (or 162763 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2296742112 is about 47924.3373663111. The cubic root of 2296742112 is about 1319.3825762618.

The spelling of 2296742112 in words is "two billion, two hundred ninety-six million, seven hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 162751 325502 488253 651004 976506 1139257 1302008 1464759 1953012 2278514 2604016 2929518 3417771 3906024 4557028 5208032 5859036 6835542 7812048 7974799 9114056 10253313 11718072 13671084 15624096 15949598 18228112 20506626 23436144 23924397 27342168 31899196 36456224 41013252 46872288 47848794 54684336 63798392 71773191 82026504 95697588 109368672 127596784 143546382 164053008 191395176 255193568 287092764 328106016 382790352 574185528 765580704 1148371056 2296742112