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216325260 = 2232519431471
BaseRepresentation
bin11001110010011…
…01110010001100
3120002001110110200
430321031302030
5420334402020
633244333500
75234506614
oct1471156214
9502043420
10216325260
11101123408
1260544290
1335a81c18
1420a31a44
1513ed1590
hexce4dc8c

216325260 has 144 divisors (see below), whose sum is σ = 707266560. Its totient is φ = 53343360.

The previous prime is 216325247. The next prime is 216325261. The reversal of 216325260 is 62523612.

216325260 is a `hidden beast` number, since 2 + 1 + 632 + 5 + 26 + 0 = 666.

216325260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2163252602 = 93593236228135200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216325261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146325 + ... + 147795.

Almost surely, 2216325260 is an apocalyptic number.

216325260 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 216325260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353633280).

216325260 is an abundant number, since it is smaller than the sum of its proper divisors (490941300).

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

216325260 is a wasteful number, since it uses less digits than its factorization.

216325260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216325260 is about 14707.9998640196. Note that the first 3 decimals coincide. The cubic root of 216325260 is about 600.3010156241.

Adding to 216325260 its reverse (62523612), we get a palindrome (278848872).

The spelling of 216325260 in words is "two hundred sixteen million, three hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 215 228 258 285 342 380 387 430 516 570 645 684 774 817 855 860 1140 1290 1471 1548 1634 1710 1935 2451 2580 2942 3268 3420 3870 4085 4413 4902 5884 7353 7355 7740 8170 8826 9804 12255 13239 14706 14710 16340 17652 22065 24510 26478 27949 29412 29420 36765 44130 49020 52956 55898 63253 66195 73530 83847 88260 111796 126506 132390 139745 147060 167694 189759 251541 253012 264780 279490 316265 335388 379518 419235 503082 558980 569277 632530 759036 838470 948795 1006164 1138554 1201807 1257705 1265060 1676940 1897590 2277108 2403614 2515410 2846385 3605421 3795180 4807228 5030820 5692770 6009035 7210842 10816263 11385540 12018070 14421684 18027105 21632526 24036140 36054210 43265052 54081315 72108420 108162630 216325260