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2273931968 = 267111727143
BaseRepresentation
bin1000011110001001…
…0111001011000000
312212110210201020112
42013202113023000
514124111310333
61013350130452
7110231050160
oct20742271300
95773721215
102273931968
11a67636820
12535650a28
132a3148a99
141780045a0
15d4972948
hex878972c0

2273931968 has 112 divisors (see below), whose sum is σ = 5956913664. Its totient is φ = 833802240.

The previous prime is 2273931967. The next prime is 2273932013. The reversal of 2273931968 is 8691393722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2273931967) 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 15 ways as a sum of consecutive naturals, for example, 70205 + ... + 97347.

Almost surely, 22273931968 is an apocalyptic number.

2273931968 is a gapful number since it is divisible by the number (28) 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 2273931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978456832).

2273931968 is an abundant number, since it is smaller than the sum of its proper divisors (3682981696).

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

2273931968 is a wasteful number, since it uses less digits than its factorization.

2273931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27190 (or 27180 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 2273931968 is about 47685.7627389979. The cubic root of 2273931968 is about 1315.0002106917. Note that the first 3 decimals are identical.

The spelling of 2273931968 in words is "two billion, two hundred seventy-three million, nine hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1904 2464 2618 2992 3808 4928 5236 5984 7616 10472 11968 20944 27143 41888 54286 83776 108572 190001 217144 298573 380002 434288 461431 597146 760004 868576 922862 1194292 1520008 1737152 1845724 2090011 2388584 3040016 3230017 3691448 4180022 4777168 5075741 6080032 6460034 7382896 8360044 9554336 10151482 12160064 12920068 14765792 16720088 19108672 20302964 25840136 29531584 33440176 35530187 40605928 51680272 66880352 71060374 81211856 103360544 133760704 142120748 162423712 206721088 284241496 324847424 568482992 1136965984 2273931968