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2313242000 = 24536167283
BaseRepresentation
bin1000100111100001…
…0100010110010000
312222012202212110122
42021320110112100
514214142221000
61021312445412
7111216142526
oct21170242620
95865685418
102313242000
11a87845a53
12546849868
132ab330564
1417d318316
15d813a085
hex89e14590

2313242000 has 160 divisors (see below), whose sum is σ = 5790355584. Its totient is φ = 893376000.

The previous prime is 2313241999. The next prime is 2313242021. The reversal of 2313242000 is 2423132.

It is a self number, because there is not a number n which added to its sum of digits gives 2313242000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8173859 + ... + 8174141.

Almost surely, 22313242000 is an apocalyptic number.

2313242000 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 2313242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895177792).

2313242000 is an abundant number, since it is smaller than the sum of its proper divisors (3477113584).

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

2313242000 is a wasteful number, since it uses less digits than its factorization.

2313242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2313242000 is about 48096.1744840481. The cubic root of 2313242000 is about 1322.5345395453.

Adding to 2313242000 its reverse (2423132), we get a palindrome (2315665132).

The spelling of 2313242000 in words is "two billion, three hundred thirteen million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 67 80 100 122 125 134 200 244 250 268 283 305 335 400 488 500 536 566 610 670 976 1000 1072 1132 1220 1340 1415 1525 1675 2000 2264 2440 2680 2830 3050 3350 4087 4528 4880 5360 5660 6100 6700 7075 7625 8174 8375 11320 12200 13400 14150 15250 16348 16750 17263 18961 20435 22640 24400 26800 28300 30500 32696 33500 34526 35375 37922 40870 56600 61000 65392 67000 69052 70750 75844 81740 86315 94805 102175 113200 122000 134000 138104 141500 151688 163480 172630 189610 204350 276208 283000 303376 326960 345260 379220 408700 431575 474025 510875 566000 690520 758440 817400 863150 948050 1021750 1156621 1381040 1516880 1634800 1726300 1896100 2043500 2157875 2313242 2370125 3452600 3792200 4087000 4315750 4626484 4740250 5783105 6905200 7584400 8174000 8631500 9252968 9480500 11566210 17263000 18505936 18961000 23132420 28915525 34526000 37922000 46264840 57831050 92529680 115662100 144577625 231324200 289155250 462648400 578310500 1156621000 2313242000