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2145015000 = 23335415889
BaseRepresentation
bin111111111011010…
…0101010011011000
312112111020001102000
41333312211103120
513343110440000
6552503041000
7104104220022
oct17766452330
95474201360
102145015000
11a00894577
124ba440160
1328251c25b
14164c47012
15c84aa000
hex7fda54d8

2145015000 has 160 divisors (see below), whose sum is σ = 7446054000. Its totient is φ = 571968000.

The previous prime is 2145014987. The next prime is 2145015011. The reversal of 2145015000 is 5105412.

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 39 ways as a sum of consecutive naturals, for example, 127056 + ... + 142944.

Almost surely, 22145015000 is an apocalyptic number.

2145015000 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 2145015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723027000).

2145015000 is an abundant number, since it is smaller than the sum of its proper divisors (5301039000).

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

2145015000 is a wasteful number, since it uses less digits than its factorization.

2145015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2145015000 is about 46314.3066449234. The cubic root of 2145015000 is about 1289.6645964145.

The spelling of 2145015000 in words is "two billion, one hundred forty-five million, fifteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3375 3750 4500 5000 5400 5625 6750 7500 9000 11250 13500 15000 15889 16875 22500 27000 31778 33750 45000 47667 63556 67500 79445 95334 127112 135000 143001 158890 190668 238335 286002 317780 381336 397225 429003 476670 572004 635560 715005 794450 858006 953340 1144008 1191675 1430010 1588900 1716012 1906680 1986125 2145015 2383350 2860020 3177800 3432024 3575025 3972250 4290030 4766700 5720040 5958375 7150050 7944500 8580060 9533400 9930625 10725075 11916750 14300100 15889000 17160120 17875125 19861250 21450150 23833500 28600200 29791875 35750250 39722500 42900300 47667000 53625375 59583750 71500500 79445000 85800600 89375625 107250750 119167500 143001000 178751250 214501500 238335000 268126875 357502500 429003000 536253750 715005000 1072507500 2145015000