Search a number
-
+
2315194000 = 24537612711
BaseRepresentation
bin1000100111111111…
…0000111010010000
312222100110001002221
42021333300322100
514220142202000
61021422350424
7111241552510
oct21177607220
95870401087
102315194000
11a88959579
1254742b414
132ab864ba2
1417d6a5840
15d83c361a
hex89ff0e90

2315194000 has 160 divisors (see below), whose sum is σ = 6505155072. Its totient is φ = 780480000.

The previous prime is 2315193971. The next prime is 2315194067. The reversal of 2315194000 is 4915132.

2315194000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 852645 + ... + 855355.

Almost surely, 22315194000 is an apocalyptic number.

2315194000 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 2315194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252577536).

2315194000 is an abundant number, since it is smaller than the sum of its proper divisors (4189961072).

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

2315194000 is a wasteful number, since it uses less digits than its factorization.

2315194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 2315194000 is about 48116.4628791436. The cubic root of 2315194000 is about 1322.9064363053.

The spelling of 2315194000 in words is "two billion, three hundred fifteen million, one hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 61 70 80 100 112 122 125 140 175 200 244 250 280 305 350 400 427 488 500 560 610 700 854 875 976 1000 1220 1400 1525 1708 1750 2000 2135 2440 2711 2800 3050 3416 3500 4270 4880 5422 6100 6832 7000 7625 8540 10675 10844 12200 13555 14000 15250 17080 18977 21350 21688 24400 27110 30500 34160 37954 42700 43376 53375 54220 61000 67775 75908 85400 94885 106750 108440 122000 135550 151816 165371 170800 189770 213500 216880 271100 303632 330742 338875 379540 427000 474425 542200 661484 677750 759080 826855 854000 948850 1084400 1157597 1322968 1355500 1518160 1653710 1897700 2315194 2372125 2645936 2711000 3307420 3795400 4134275 4630388 4744250 5422000 5787985 6614840 7590800 8268550 9260776 9488500 11575970 13229680 16537100 18521552 18977000 20671375 23151940 28939925 33074200 37954000 41342750 46303880 57879850 66148400 82685500 92607760 115759700 144699625 165371000 231519400 289399250 330742000 463038800 578798500 1157597000 2315194000