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2273913648 = 24341939091
BaseRepresentation
bin1000011110001001…
…0010101100110000
312212110202210010000
42013202102230300
514124110214043
61013345510000
7110230642566
oct20742225460
95773683100
102273913648
11a67623a86
12535642300
132a3140646
14177ddba36
15d496c2d3
hex87892b30

2273913648 has 100 divisors (see below), whose sum is σ = 6616193848. Its totient is φ = 753960960.

The previous prime is 2273913647. The next prime is 2273913661. The reversal of 2273913648 is 8463193722.

2273913648 is a `hidden beast` number, since 227 + 391 + 36 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2273913647) 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 19 ways as a sum of consecutive naturals, for example, 245583 + ... + 254673.

Almost surely, 22273913648 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 2273913648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308096924).

2273913648 is an abundant number, since it is smaller than the sum of its proper divisors (4342280200).

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

2273913648 is a wasteful number, since it uses less digits than its factorization.

2273913648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9289 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2273913648 is about 47685.5706477337. The cubic root of 2273913648 is about 1314.9966792362.

The spelling of 2273913648 in words is "two billion, two hundred seventy-three million, nine hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 324 386 432 579 648 772 1158 1296 1544 1737 2316 3088 3474 4632 5211 6948 9091 9264 10422 13896 15633 18182 20844 27273 27792 31266 36364 41688 54546 62532 72728 81819 83376 109092 125064 145456 163638 218184 245457 250128 327276 436368 490914 654552 736371 981828 1309104 1472742 1754563 1963656 2945484 3509126 3927312 5263689 5890968 7018252 10527378 11781936 14036504 15791067 21054756 28073008 31582134 42109512 47373201 63164268 84219024 94746402 126328536 142119603 189492804 252657072 284239206 378985608 568478412 757971216 1136956824 2273913648