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211704204720 = 24352341279293
BaseRepresentation
bin1100010100101010001…
…1011100110110110000
3202020110000210220000010
43011022203130312300
511432032234022340
6241131111454520
721203141022561
oct3051243346660
9666400726003
10211704204720
1181868560468
1235043387440
1316c6b0c89b8
14a364702168
155790c66b80
hex314a8dcdb0

211704204720 has 160 divisors (see below), whose sum is σ = 685056724992. Its totient is φ = 53981019136.

The previous prime is 211704204689. The next prime is 211704204737. The reversal of 211704204720 is 27402407112.

It is a super-2 number, since 2×2117042047202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 22776394 + ... + 22785686.

Almost surely, 2211704204720 is an apocalyptic number.

211704204720 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 211704204720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342528362496).

211704204720 is an abundant number, since it is smaller than the sum of its proper divisors (473352520272).

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

211704204720 is a wasteful number, since it uses less digits than its factorization.

211704204720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13459 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 211704204720 in words is "two hundred eleven billion, seven hundred four million, two hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 4127 5520 8254 9293 12381 16508 18586 20635 24762 27879 33016 37172 41270 46465 49524 55758 61905 66032 74344 82540 92930 94921 99048 111516 123810 139395 148688 165080 185860 189842 198096 213739 223032 247620 278790 284763 330160 371720 379684 427478 446064 474605 495240 557580 569526 641217 743440 759368 854956 949210 990480 1068695 1115160 1139052 1282434 1423815 1518736 1709912 1898420 2137390 2230320 2278104 2564868 2847630 3206085 3419824 3796840 4274780 4556208 5129736 5695260 6412170 7593680 8549560 10259472 11390520 12824340 17099120 22781040 25648680 38352211 51297360 76704422 115056633 153408844 191761055 230113266 306817688 383522110 460226532 575283165 613635376 767044220 882100853 920453064 1150566330 1534088440 1764201706 1840906128 2301132660 2646302559 3068176880 3528403412 4410504265 4602265320 5292605118 7056806824 8821008530 9204530640 10585210236 13231512795 14113613648 17642017060 21170420472 26463025590 35284034120 42340840944 52926051180 70568068240 105852102360 211704204720