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2314191300 = 22352172915647
BaseRepresentation
bin1000100111101111…
…1100000111000100
312222021120002122220
42021323330013010
514214413110200
61021345052340
7111230205261
oct21173740704
95867502586
102314191300
11a883341a3
125470270b0
132ab5a3685
1417d4c4268
15d82764a0
hex89efc1c4

2314191300 has 144 divisors (see below), whose sum is σ = 7334530560. Its totient is φ = 560752640.

The previous prime is 2314191293. The next prime is 2314191301. The reversal of 2314191300 is 31914132.

2314191300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2314191301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140077 + ... + 155723.

It is an arithmetic number, because the mean of its divisors is an integer number (50934240).

Almost surely, 22314191300 is an apocalyptic number.

2314191300 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 2314191300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667265280).

2314191300 is an abundant number, since it is smaller than the sum of its proper divisors (5020339260).

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

2314191300 is a wasteful number, since it uses less digits than its factorization.

2314191300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15710 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2314191300 is about 48106.0422400347. The cubic root of 2314191300 is about 1322.7154271391.

The spelling of 2314191300 in words is "two billion, three hundred fourteen million, one hundred ninety-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 340 348 425 435 493 510 580 725 850 870 986 1020 1275 1450 1479 1700 1740 1972 2175 2465 2550 2900 2958 4350 4930 5100 5916 7395 8700 9860 12325 14790 15647 24650 29580 31294 36975 46941 49300 62588 73950 78235 93882 147900 156470 187764 234705 265999 312940 391175 453763 469410 531998 782350 797997 907526 938820 1063996 1173525 1329995 1361289 1564700 1595994 1815052 2268815 2347050 2659990 2722578 3191988 3989985 4537630 4694100 5319980 5445156 6649975 6806445 7713971 7979970 9075260 11344075 13299950 13612890 15427942 15959940 19949925 22688150 23141913 26599900 27225780 30855884 34032225 38569855 39899850 45376300 46283826 68064450 77139710 79799700 92567652 115709565 136128900 154279420 192849275 231419130 385698550 462838260 578547825 771397100 1157095650 2314191300