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2313231000 = 233531940583
BaseRepresentation
bin1000100111100001…
…0001101010011000
312222012202022101020
42021320101222120
514214141343000
61021312322440
7111216065463
oct21170215230
95865668336
102313231000
11a87838763
12546843420
132ab328552
1417d3142da
15d8136ba0
hex89e11a98

2313231000 has 128 divisors (see below), whose sum is σ = 7597324800. Its totient is φ = 584380800.

The previous prime is 2313230917. The next prime is 2313231001. The reversal of 2313231000 is 1323132.

It is a super-2 number, since 2×23132310002 = 10702075318722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313231001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36709 + ... + 77291.

It is an arithmetic number, because the mean of its divisors is an integer number (59354100).

Almost surely, 22313231000 is an apocalyptic number.

2313231000 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 2313231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798662400).

2313231000 is an abundant number, since it is smaller than the sum of its proper divisors (5284093800).

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

2313231000 is a wasteful number, since it uses less digits than its factorization.

2313231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40626 (or 40612 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2313231000 is about 48096.0601297029. The cubic root of 2313231000 is about 1322.5324432229.

Adding to 2313231000 its reverse (1323132), we get a palindrome (2314554132).

The spelling of 2313231000 in words is "two billion, three hundred thirteen million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 40583 57000 81166 121749 162332 202915 243498 324664 405830 486996 608745 771077 811660 973992 1014575 1217490 1542154 1623320 2029150 2313231 2434980 3043725 3084308 3855385 4058300 4626462 4869960 5072875 6087450 6168616 7710770 8116600 9252924 10145750 11566155 12174900 15218625 15421540 18505848 19276925 20291500 23132310 24349800 30437250 30843080 38553850 40583000 46264620 57830775 60874500 77107700 92529240 96384625 115661550 121749000 154215400 192769250 231323100 289153875 385538500 462646200 578307750 771077000 1156615500 2313231000