Search a number
-
+
216154680 = 23357236761
BaseRepresentation
bin11001110001001…
…00001000111000
3120001201210110220
430320210020320
5420313422210
633240540040
75233166400
oct1470441070
9501653426
10216154680
11101017235
1260481620
1335a223a1
14209c9800
1513e9ac70
hexce24238

216154680 has 96 divisors (see below), whose sum is σ = 754356240. Its totient is φ = 49405440.

The previous prime is 216154657. The next prime is 216154717. The reversal of 216154680 is 86451612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12501 + ... + 24260.

Almost surely, 2216154680 is an apocalyptic number.

216154680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216154680 is an abundant number, since it is smaller than the sum of its proper divisors (538201560).

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

216154680 is a wasteful number, since it uses less digits than its factorization.

216154680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36789 (or 36778 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 216154680 is about 14702.1998353988. The cubic root of 216154680 is about 600.1431880481.

The spelling of 216154680 in words is "two hundred sixteen million, one hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 36761 73522 110283 147044 183805 220566 257327 294088 367610 441132 514654 551415 735220 771981 882264 1029308 1102830 1286635 1470440 1543962 1801289 2058616 2205660 2573270 3087924 3602578 3859905 4411320 5146540 5403867 6175848 7205156 7719810 9006445 10293080 10807734 14410312 15439620 18012890 21615468 27019335 30879240 36025780 43230936 54038670 72051560 108077340 216154680