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2023332320 = 255294310141
BaseRepresentation
bin111100010011001…
…1001100111100000
312020000020221011002
41320212121213200
513120433113240
6532435011132
7101066020022
oct17046314740
95200227132
102023332320
11949133579
12485739aa8
13263256479
14152a10012
15bc970d15
hex789999e0

2023332320 has 96 divisors (see below), whose sum is σ = 5060452320. Its totient is φ = 763176960.

The previous prime is 2023332317. The next prime is 2023332343. The reversal of 2023332320 is 232333202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2023332292 and 2023332301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194450 + ... + 204590.

It is an arithmetic number, because the mean of its divisors is an integer number (52713045).

Almost surely, 22023332320 is an apocalyptic number.

2023332320 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 2023332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530226160).

2023332320 is an abundant number, since it is smaller than the sum of its proper divisors (3037120000).

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

2023332320 is a wasteful number, since it uses less digits than its factorization.

2023332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2023332320 is about 44981.4664056209. The cubic root of 2023332320 is about 1264.8015999056.

Adding to 2023332320 its reverse (232333202), we get a palindrome (2255665522).

The spelling of 2023332320 in words is "two billion, twenty-three million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 43 58 80 86 116 145 160 172 215 232 290 344 430 464 580 688 860 928 1160 1247 1376 1720 2320 2494 3440 4640 4988 6235 6880 9976 10141 12470 19952 20282 24940 39904 40564 49880 50705 81128 99760 101410 162256 199520 202820 294089 324512 405640 436063 588178 811280 872126 1176356 1470445 1622560 1744252 2180315 2352712 2940890 3488504 4360630 4705424 5881780 6977008 8721260 9410848 11763560 12645827 13954016 17442520 23527120 25291654 34885040 47054240 50583308 63229135 69770080 101166616 126458270 202333232 252916540 404666464 505833080 1011666160 2023332320