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211573342000 = 2453269479821
BaseRepresentation
bin1100010100001011000…
…0001111111100110000
3202020002220120101002201
43011002300033330300
511431300233421000
6241110114552544
721166661506606
oct3050260177460
9666086511081
10211573342000
11818006aa359
1235007598754
1316c49c6a637
14a351199876
15578451796a
hex3142c0ff30

211573342000 has 160 divisors (see below), whose sum is σ = 515184883200. Its totient is φ = 84036224000.

The previous prime is 211573341989. The next prime is 211573342003. The reversal of 211573342000 is 243375112.

It is a self number, because there is not a number n which added to its sum of digits gives 211573342000.

It is not an unprimeable number, because it can be changed into a prime (211573342003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257701590 + ... + 257702410.

It is an arithmetic number, because the mean of its divisors is an integer number (3219905520).

Almost surely, 2211573342000 is an apocalyptic number.

211573342000 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 211573342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257592441600).

211573342000 is an abundant number, since it is smaller than the sum of its proper divisors (303611541200).

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

211573342000 is a wasteful number, since it uses less digits than its factorization.

211573342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 211573342000 in words is "two hundred eleven billion, five hundred seventy-three million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 269 400 479 500 538 821 958 1000 1076 1345 1642 1916 2000 2152 2395 2690 3284 3832 4105 4304 4790 5380 6568 6725 7664 8210 9580 10760 11975 13136 13450 16420 19160 20525 21520 23950 26900 32840 33625 38320 41050 47900 53800 59875 65680 67250 82100 95800 102625 107600 119750 128851 134500 164200 191600 205250 220849 239500 257702 269000 328400 393259 410500 441698 479000 515404 538000 644255 786518 821000 883396 958000 1030808 1104245 1288510 1573036 1642000 1766792 1966295 2061616 2208490 2577020 3146072 3221275 3533584 3932590 4416980 5154040 5521225 6292144 6442550 7865180 8833960 9831475 10308080 11042450 12885100 15730360 16106375 17667920 19662950 22084900 25770200 27606125 31460720 32212750 39325900 44169800 49157375 51540400 55212250 64425500 78651800 88339600 98314750 105786671 110424500 128851000 157303600 196629500 211573342 220849000 257702000 393259000 423146684 441698000 528933355 786518000 846293368 1057866710 1692586736 2115733420 2644666775 4231466840 5289333550 8462933680 10578667100 13223333875 21157334200 26446667750 42314668400 52893335500 105786671000 211573342000