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200002221202000 = 2453760532360131
BaseRepresentation
bin101101011110011010100101…
…010110010101101001010000
3222020011000200200012210220011
4231132122211112111221100
5202203314022111431000
61545211430233324304
760061453326240220
oct5536324526255120
9866130620183804
10200002221202000
11587aa513904288
121a52192b266694
13877a189504aa9
143756232a20080
15181c7b40982ba
hexb5e6a5595a50

200002221202000 has 160 divisors (see below), whose sum is σ = 552783395384064. Its totient is φ = 68560832448000.

The previous prime is 200002221201971. The next prime is 200002221202067. The reversal of 200002221202000 is 202122200002.

200002221202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 83561935 + ... + 85922065.

Almost surely, 2200002221202000 is an apocalyptic number.

200002221202000 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 200002221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276391697692032).

200002221202000 is an abundant number, since it is smaller than the sum of its proper divisors (352781174182064).

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

200002221202000 is a wasteful number, since it uses less digits than its factorization.

200002221202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366214 (or 2366198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 200002221202000 its reverse (202122200002), we get a palindrome (200204343402002).

The spelling of 200002221202000 in words is "two hundred trillion, two billion, two hundred twenty-one million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 6053 7000 12106 14000 24212 30265 42371 48424 60530 84742 96848 121060 151325 169484 211855 242120 302650 338968 423710 484240 605300 677936 756625 847420 1059275 1210600 1513250 1694840 2118550 2360131 2421200 3026500 3389680 4237100 4720262 5296375 6053000 8474200 9440524 10592750 11800655 12106000 16520917 16948400 18881048 21185500 23601310 33041834 37762096 42371000 47202620 59003275 66083668 82604585 84742000 94405240 118006550 132167336 165209170 188810480 236013100 264334672 295016375 330418340 413022925 472026200 590032750 660836680 826045850 944052400 1180065500 1321673360 1652091700 2065114625 2360131000 3304183400 4130229250 4720262000 6608366800 8260458500 14285872943 16520917000 28571745886 33041834000 57143491772 71429364715 100001110601 114286983544 142858729430 200002221202 228573967088 285717458860 357146823575 400004442404 500005553005 571434917720 714293647150 800008884808 1000011106010 1142869835440 1428587294300 1600017769616 1785734117875 2000022212020 2500027765025 2857174588600 3571468235750 4000044424040 5000055530050 5714349177200 7142936471500 8000088848080 10000111060100 12500138825125 14285872943000 20000222120200 25000277650250 28571745886000 40000444240400 50000555300500 100001110601000 200002221202000