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216443040 = 25351140993
BaseRepresentation
bin11001110011010…
…10100010100000
3120002021110000220
430321222202200
5420402134130
633251043040
75235510162
oct1471524240
9502243026
10216443040
111011a3950
12605a0480
1335ac3708
1420a62932
1514006410
hexce6a8a0

216443040 has 96 divisors (see below), whose sum is σ = 743795136. Its totient is φ = 52469760.

The previous prime is 216443039. The next prime is 216443053. The reversal of 216443040 is 40344612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 216443040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15217 + ... + 25776.

It is an arithmetic number, because the mean of its divisors is an integer number (7747866).

Almost surely, 2216443040 is an apocalyptic number.

216443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216443040 is an abundant number, since it is smaller than the sum of its proper divisors (527352096).

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

216443040 is a wasteful number, since it uses less digits than its factorization.

216443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41022 (or 41014 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 216443040 is about 14712.0032626424. The cubic root of 216443040 is about 600.4099420709.

Adding to 216443040 its reverse (40344612), we get a palindrome (256787652).

The spelling of 216443040 in words is "two hundred sixteen million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 40993 81986 122979 163972 204965 245958 327944 409930 450923 491916 614895 655888 819860 901846 983832 1229790 1311776 1352769 1639720 1803692 1967664 2254615 2459580 2705538 3279440 3607384 3935328 4509230 4919160 5411076 6558880 6763845 7214768 9018460 9838320 10822152 13527690 14429536 18036920 19676640 21644304 27055380 36073840 43288608 54110760 72147680 108221520 216443040