Search a number
-
+
217472660000 = 255430735419
BaseRepresentation
bin1100101010001001100…
…0010111001000100000
3202210100001011210000222
43022202120113020200
512030341000110000
6243523333502212
721466114052501
oct3124230271040
9683301153028
10217472660000
1184258713282
12361931a1968
131767a21434b
14a75087aba8
1559cc3b3a85
hex32a2617220

217472660000 has 120 divisors (see below), whose sum is σ = 536773240080. Its totient is φ = 86703264000.

The previous prime is 217472659993. The next prime is 217472660011. The reversal of 217472660000 is 66274712.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6122291 + ... + 6157709.

It is an arithmetic number, because the mean of its divisors is an integer number (4473110334).

Almost surely, 2217472660000 is an apocalyptic number.

217472660000 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 217472660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268386620040).

217472660000 is an abundant number, since it is smaller than the sum of its proper divisors (319300580080).

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

217472660000 is an equidigital number, since it uses as much as digits as its factorization.

217472660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35756 (or 35733 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 217472660000 in words is "two hundred seventeen billion, four hundred seventy-two million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 307 400 500 614 625 800 1000 1228 1250 1535 2000 2456 2500 3070 4000 4912 5000 6140 7675 9824 10000 12280 15350 20000 24560 30700 35419 38375 49120 61400 70838 76750 122800 141676 153500 177095 191875 245600 283352 307000 354190 383750 566704 614000 708380 767500 885475 1133408 1228000 1416760 1535000 1770950 2833520 3070000 3541900 4427375 5667040 6140000 7083800 8854750 10873633 14167600 17709500 21747266 22136875 28335200 35419000 43494532 44273750 54368165 70838000 86989064 88547500 108736330 141676000 173978128 177095000 217472660 271840825 347956256 354190000 434945320 543681650 708380000 869890640 1087363300 1359204125 1739781280 2174726600 2718408250 4349453200 5436816500 6796020625 8698906400 10873633000 13592041250 21747266000 27184082500 43494532000 54368165000 108736330000 217472660000