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2023141230 = 2325113136529
BaseRepresentation
bin111100010010110…
…1010111101101110
312012222220020000200
41320211222331232
513120411004410
6532430534330
7101064262635
oct17045527556
95188806020
102023141230
11949012a50
124856673a6
132631ba4b6
141529a051c
15bc9343c0
hex7896af6e

2023141230 has 96 divisors (see below), whose sum is σ = 5757579360. Its totient is φ = 488816640.

The previous prime is 2023141193. The next prime is 2023141259. The reversal of 2023141230 is 321413202.

2023141230 is a `hidden beast` number, since 20 + 231 + 412 + 3 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306606 + ... + 313134.

It is an arithmetic number, because the mean of its divisors is an integer number (59974785).

Almost surely, 22023141230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023141230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878789680).

2023141230 is an abundant number, since it is smaller than the sum of its proper divisors (3734438130).

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

2023141230 is a wasteful number, since it uses less digits than its factorization.

2023141230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023141230 is about 44979.3422584190. The cubic root of 2023141230 is about 1264.7617813442.

Adding to 2023141230 its reverse (321413202), we get a palindrome (2344554432).

The spelling of 2023141230 in words is "two billion, twenty-three million, one hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 313 330 495 626 939 990 1565 1878 2817 3130 3443 4695 5634 6529 6886 9390 10329 13058 14085 17215 19587 20658 28170 30987 32645 34430 39174 51645 58761 61974 65290 71819 97935 103290 117522 143638 154935 195870 215457 293805 309870 359095 430914 587610 646371 718190 1077285 1292742 2043577 2154570 3231855 4087154 6130731 6463710 10217885 12261462 18392193 20435770 22479347 30653655 36784386 44958694 61307310 67438041 91960965 112396735 134876082 183921930 202314123 224793470 337190205 404628246 674380410 1011570615 2023141230