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214143922000 = 2453591939403
BaseRepresentation
bin1100011101101111111…
…0001110111101010000
3202110202001120100221101
43013123332032331100
512002031321001000
6242213143234144
721320454206131
oct3073376167520
9673661510841
10214143922000
11828aa730138
1235604448954
13172696ac5a8
14a51673dc88
155885035e6a
hex31dbf8ef50

214143922000 has 160 divisors (see below), whose sum is σ = 529360940160. Its totient is φ = 83760537600.

The previous prime is 214143921997. The next prime is 214143922021. The reversal of 214143922000 is 229341412.

It is a self number, because there is not a number n which added to its sum of digits gives 214143922000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22769299 + ... + 22778701.

It is an arithmetic number, because the mean of its divisors is an integer number (3308505876).

Almost surely, 2214143922000 is an apocalyptic number.

214143922000 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 214143922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264680470080).

214143922000 is an abundant number, since it is smaller than the sum of its proper divisors (315217018160).

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

214143922000 is a wasteful number, since it uses less digits than its factorization.

214143922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 214143922000 in words is "two hundred fourteen billion, one hundred forty-three million, nine hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 193 200 236 250 295 386 400 472 500 590 772 944 965 1000 1180 1475 1544 1930 2000 2360 2950 3088 3860 4720 4825 5900 7375 7720 9403 9650 11387 11800 14750 15440 18806 19300 22774 23600 24125 29500 37612 38600 45548 47015 48250 56935 59000 75224 77200 91096 94030 96500 113870 118000 150448 182192 188060 193000 227740 235075 284675 376120 386000 455480 470150 554777 569350 752240 910960 940300 1109554 1138700 1175375 1423375 1814779 1880600 2219108 2277400 2350750 2773885 2846750 3629558 3761200 4438216 4554800 4701500 5547770 5693500 7259116 8876432 9073895 9403000 11095540 11387000 13869425 14518232 18147790 18806000 22191080 22774000 27738850 29036464 36295580 44382160 45369475 55477700 69347125 72591160 90738950 107071961 110955400 138694250 145182320 181477900 214143922 221910800 226847375 277388500 362955800 428287844 453694750 535359805 554777000 725911600 856575688 907389500 1070719610 1109554000 1713151376 1814779000 2141439220 2676799025 3629558000 4282878440 5353598050 8565756880 10707196100 13383995125 21414392200 26767990250 42828784400 53535980500 107071961000 214143922000