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212220020022000 = 24353191861579123
BaseRepresentation
bin110000010000001101010010…
…111010000101101011110000
31000211102000222002012100010120
4300100031102322011223300
5210304003100111201000
62031204310432130240
762462250634551234
oct6020152272055360
91024360862170116
10212220020022000
1161690006813181
121b9757b3396980
1391553538659a3
143a5970a4dc5c4
1519804e2d076a0
hexc10352e85af0

212220020022000 has 160 divisors (see below), whose sum is σ = 720207731493120. Its totient is φ = 53613478713600.

The previous prime is 212220020021939. The next prime is 212220020022011. The reversal of 212220020022000 is 220020022212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 930675562 + ... + 930903561.

It is an arithmetic number, because the mean of its divisors is an integer number (4501298321832).

Almost surely, 2212220020022000 is an apocalyptic number.

212220020022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220020022000 is an abundant number, since it is smaller than the sum of its proper divisors (507987711471120).

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

212220020022000 is a wasteful number, since it uses less digits than its factorization.

212220020022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861579168 (or 1861579152 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 212220020022000 its reverse (220020022212), we get a palindrome (212440040044212).

The spelling of 212220020022000 in words is "two hundred twelve trillion, two hundred twenty billion, twenty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 1861579123 3723158246 5584737369 7446316492 9307895615 11169474738 14892632984 18615791230 22338949476 27923686845 29785265968 35370003337 37231582460 44677898952 46539478075 55847373690 70740006674 74463164920 89355797904 93078956150 106110010011 111694747380 139618434225 141480013348 148926329840 176850016685 186157912300 212220020022 223389494760 232697390375 279236868450 282960026696 353700033370 372315824600 424440040044 446778989520 465394780750 530550050055 558473736900 565920053392 698092171125 707400066740 744631649200 848880080088 884250083425 930789561500 1061100100110 1116947473800 1396184342250 1414800133480 1697760160176 1768500166850 1861579123000 2122200200220 2233894947600 2652750250275 2792368684500 2829600266960 3537000333700 3723158246000 4244400400440 4421250417125 5305500500550 5584737369000 7074000667400 8488800800880 8842500834250 10611001001100 11169474738000 13263751251375 14148001334800 17685001668500 21222002002200 26527502502750 35370003337000 42444004004400 53055005005500 70740006674000 106110010011000 212220020022000