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213352260 = 223511595479
BaseRepresentation
bin11001011011101…
…11111101000100
3112212110102021120
430231313331010
5414104233020
633100513540
75200315152
oct1455677504
9485412246
10213352260
11aa482790
125b54b8b0
1335280954
142049a3d2
1513ae5740
hexcb77f44

213352260 has 96 divisors (see below), whose sum is σ = 662860800. Its totient is φ = 50835840.

The previous prime is 213352241. The next prime is 213352289. The reversal of 213352260 is 62253312.

It is a self number, because there is not a number n which added to its sum of digits gives 213352260.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36201 + ... + 41679.

It is an arithmetic number, because the mean of its divisors is an integer number (6904800).

Almost surely, 2213352260 is an apocalyptic number.

213352260 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 213352260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331430400).

213352260 is an abundant number, since it is smaller than the sum of its proper divisors (449508540).

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

213352260 is a wasteful number, since it uses less digits than its factorization.

213352260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 213352260 is about 14606.5827625766. The cubic root of 213352260 is about 597.5383027796.

The spelling of 213352260 in words is "two hundred thirteen million, three hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 5479 6490 7788 9735 10958 12980 16437 19470 21916 27395 32874 38940 54790 60269 65748 82185 109580 120538 164370 180807 241076 301345 323261 328740 361614 602690 646522 723228 904035 969783 1205380 1293044 1616305 1808070 1939566 3232610 3555871 3616140 3879132 4848915 6465220 7111742 9697830 10667613 14223484 17779355 19395660 21335226 35558710 42670452 53338065 71117420 106676130 213352260