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2023105230 = 2325174132251
BaseRepresentation
bin111100010010110…
…0010001011001110
312012222211101122100
41320211202023032
513120403331410
6532430055530
7101064052656
oct17045421316
95188741570
102023105230
11948a989a3
1248564a5a6
132631a6cb3
14152991366
15bc9288c0
hex789622ce

2023105230 has 96 divisors (see below), whose sum is σ = 5705507808. Its totient is φ = 495360000.

The previous prime is 2023105219. The next prime is 2023105261. The reversal of 2023105230 is 325013202.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46605 + ... + 78855.

It is an arithmetic number, because the mean of its divisors is an integer number (59432373).

Almost surely, 22023105230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023105230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852753904).

2023105230 is an abundant number, since it is smaller than the sum of its proper divisors (3682402578).

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

2023105230 is a wasteful number, since it uses less digits than its factorization.

2023105230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32322 (or 32319 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2023105230 is about 44978.9420729301. The cubic root of 2023105230 is about 1264.7542795291.

Adding to 2023105230 its reverse (325013202), we get a palindrome (2348118432).

The spelling of 2023105230 in words is "two billion, twenty-three million, one hundred five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 41 45 51 82 85 90 102 123 153 170 205 246 255 306 369 410 510 615 697 738 765 1230 1394 1530 1845 2091 3485 3690 4182 6273 6970 10455 12546 20910 31365 32251 62730 64502 96753 161255 193506 290259 322510 483765 548267 580518 967530 1096534 1322291 1451295 1644801 2644582 2741335 2902590 3289602 3966873 4934403 5482670 6611455 7933746 8224005 9868806 11900619 13222910 16448010 19834365 22478947 23801238 24672015 39668730 44957894 49344030 59503095 67436841 112394735 119006190 134873682 202310523 224789470 337184205 404621046 674368410 1011552615 2023105230