Search a number
-
+
210551927400 = 233252257455149
BaseRepresentation
bin1100010000010111011…
…1110111001001101000
3202010110201121010200100
43010011313313021220
511422202243134100
6240420510305400
721132446565513
oct3040567671150
9663421533610
10210551927400
118132708a461
12349814b8260
1316b164731b9
14a295675d7a
155724a06400
hex3105df7268

210551927400 has 144 divisors (see below), whose sum is σ = 709856491500. Its totient is φ = 55928586240.

The previous prime is 210551927387. The next prime is 210551927423. The reversal of 210551927400 is 4729155012.

210551927400 is a `hidden beast` number, since 2 + 10 + 55 + 192 + 7 + 400 = 666.

210551927400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 124175892996 + 86376034404 = 352386^2 + 293898^2 .

It is a super-2 number, since 2×2105519274002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 235026 + ... + 690174.

Almost surely, 2210551927400 is an apocalyptic number.

210551927400 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 210551927400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354928245750).

210551927400 is an abundant number, since it is smaller than the sum of its proper divisors (499304564100).

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

210551927400 is a wasteful number, since it uses less digits than its factorization.

210551927400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455428 (or 455416 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 210551927400 in words is "two hundred ten billion, five hundred fifty-one million, nine hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 257 300 360 450 514 600 771 900 1028 1285 1542 1800 2056 2313 2570 3084 3855 4626 5140 6168 6425 7710 9252 10280 11565 12850 15420 18504 19275 23130 25700 30840 38550 46260 51400 57825 77100 92520 115650 154200 231300 455149 462600 910298 1365447 1820596 2275745 2730894 3641192 4096341 4551490 5461788 6827235 8192682 9102980 10923576 11378725 13654470 16385364 18205960 20481705 22757450 27308940 32770728 34136175 40963410 45514900 54617880 68272350 81926820 91029800 102408525 116973293 136544700 163853640 204817050 233946586 273089400 350919879 409634100 467893172 584866465 701839758 819268200 935786344 1052759637 1169732930 1403679516 1754599395 2105519274 2339465860 2807359032 2924332325 3509198790 4211038548 4678931720 5263798185 5848664650 7018397580 8422077096 8772996975 10527596370 11697329300 14036795160 17545993950 21055192740 23394658600 26318990925 35091987900 42110385480 52637981850 70183975800 105275963700 210551927400