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216897660 = 223257792179
BaseRepresentation
bin11001110110110…
…01100001111100
3120010010112122200
430323121201330
5421011211120
633304511500
75242412460
oct1473314174
9503115580
10216897660
11101484471
126077b590
1335c22615
1420b404a0
1514095e90
hexced987c

216897660 has 144 divisors (see below), whose sum is σ = 761779200. Its totient is φ = 48926592.

The previous prime is 216897647. The next prime is 216897671. The reversal of 216897660 is 66798612.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98451 + ... + 100629.

Almost surely, 2216897660 is an apocalyptic number.

216897660 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 216897660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380889600).

216897660 is an abundant number, since it is smaller than the sum of its proper divisors (544881540).

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

216897660 is a wasteful number, since it uses less digits than its factorization.

216897660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 216897660 is about 14727.4458070638. The cubic root of 216897660 is about 600.8300179210.

The spelling of 216897660 in words is "two hundred sixteen million, eight hundred ninety-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 79 84 90 105 126 140 158 180 210 237 252 315 316 395 420 474 553 630 711 790 948 1106 1185 1260 1422 1580 1659 2179 2212 2370 2765 2844 3318 3555 4358 4740 4977 5530 6537 6636 7110 8295 8716 9954 10895 11060 13074 14220 15253 16590 19611 19908 21790 24885 26148 30506 32685 33180 39222 43580 45759 49770 61012 65370 76265 78444 91518 98055 99540 130740 137277 152530 172141 183036 196110 228795 274554 305060 344282 392220 457590 516423 549108 686385 688564 860705 915180 1032846 1204987 1372770 1549269 1721410 2065692 2409974 2582115 2745540 3098538 3442820 3614961 4819948 5164230 6024935 6197076 7229922 7746345 10328460 10844883 12049870 14459844 15492690 18074805 21689766 24099740 30985380 36149610 43379532 54224415 72299220 108448830 216897660