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2231030320 = 245293167463
BaseRepresentation
bin1000010011111010…
…1101001000110000
312202111002002020121
42010332231020300
514032120432240
61005214420024
7106200305401
oct20476551060
95674062217
102231030320
11a453a4112
12523201614
132972a75ac
141724379a8
15d0ceb04a
hex84fad230

2231030320 has 160 divisors (see below), whose sum is σ = 5633925120. Its totient is φ = 819624960.

The previous prime is 2231030279. The next prime is 2231030359. The reversal of 2231030320 is 230301322.

It is a super-3 number, since 3×22310303203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2231030294 and 2231030303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4818409 + ... + 4818871.

It is an arithmetic number, because the mean of its divisors is an integer number (35212032).

Almost surely, 22231030320 is an apocalyptic number.

2231030320 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 2231030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816962560).

2231030320 is an abundant number, since it is smaller than the sum of its proper divisors (3402894800).

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

2231030320 is a wasteful number, since it uses less digits than its factorization.

2231030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2231030320 is about 47233.7836722827. The cubic root of 2231030320 is about 1306.6777342993.

Adding to 2231030320 its reverse (230301322), we get a palindrome (2461331642).

The spelling of 2231030320 in words is "two billion, two hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 67 80 116 124 134 145 155 232 248 268 290 310 335 463 464 496 536 580 620 670 899 926 1072 1160 1240 1340 1798 1852 1943 2077 2315 2320 2480 2680 3596 3704 3886 4154 4495 4630 5360 7192 7408 7772 8308 8990 9260 9715 10385 13427 14353 14384 15544 16616 17980 18520 19430 20770 26854 28706 31021 31088 33232 35960 37040 38860 41540 53708 57412 60233 62042 67135 71765 71920 77720 83080 107416 114824 120466 124084 134270 143530 155105 155440 166160 214832 229648 240932 248168 268540 287060 301165 310210 416237 481864 496336 537080 574120 602330 620420 832474 899609 961651 963728 1074160 1148240 1204660 1240840 1664948 1799218 1923302 2081185 2409320 2481680 3329896 3598436 3846604 4162370 4498045 4808255 4818640 6659792 7196872 7693208 8324740 8996090 9616510 14393744 15386416 16649480 17992180 19233020 27887879 33298960 35984360 38466040 55775758 71968720 76932080 111551516 139439395 223103032 278878790 446206064 557757580 1115515160 2231030320