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2032204320 = 253259714549
BaseRepresentation
bin111100100100000…
…1111101000100000
312020121221200020200
41321020033220200
513130221014240
6533353105200
7101234310636
oct17110175040
95217850220
102032204320
11953143203
124886b8200
13265041783
14153c7d356
15bd624930
hex7920fa20

2032204320 has 144 divisors (see below), whose sum is σ = 7006872600. Its totient is φ = 536297472.

The previous prime is 2032204301. The next prime is 2032204367. The reversal of 2032204320 is 234022302.

2032204320 is a `hidden beast` number, since 20 + 322 + 0 + 4 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1848656016 + 183548304 = 42996^2 + 13548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2032204293 and 2032204302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 132406 + ... + 146954.

Almost surely, 22032204320 is an apocalyptic number.

2032204320 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 2032204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503436300).

2032204320 is an abundant number, since it is smaller than the sum of its proper divisors (4974668280).

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

2032204320 is a wasteful number, since it uses less digits than its factorization.

2032204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2032204320 is about 45079.9769298965. The cubic root of 2032204320 is about 1266.6475577296.

Adding to 2032204320 its reverse (234022302), we get a palindrome (2266226622).

The spelling of 2032204320 in words is "two billion, thirty-two million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 97 120 144 160 180 194 240 288 291 360 388 480 485 582 720 776 873 970 1164 1440 1455 1552 1746 1940 2328 2910 3104 3492 3880 4365 4656 5820 6984 7760 8730 9312 11640 13968 14549 15520 17460 23280 27936 29098 34920 43647 46560 58196 69840 72745 87294 116392 130941 139680 145490 174588 218235 232784 261882 290980 349176 436470 465568 523764 581960 654705 698352 872940 1047528 1163920 1309410 1396704 1411253 1745880 2095056 2327840 2618820 2822506 3491760 4190112 4233759 5237640 5645012 6983520 7056265 8467518 10475280 11290024 12701277 14112530 16935036 20950560 21168795 22580048 25402554 28225060 33870072 42337590 45160096 50805108 56450120 63506385 67740144 84675180 101610216 112900240 127012770 135480288 169350360 203220432 225800480 254025540 338700720 406440864 508051080 677401440 1016102160 2032204320