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215232453540 = 223251391979681
BaseRepresentation
bin1100100001110011011…
…0101001101110100100
3202120112220211111111100
43020130312221232210
512011244002003130
6242513150240100
721356442445356
oct3103466515644
9676486744440
10215232453540
1183309121a85
1235868ab6030
13173b10761b0
14a5bb1350d6
1558ea8a3c60
hex321cda9ba4

215232453540 has 72 divisors (see below), whose sum is σ = 703092689208. Its totient is φ = 52980295680.

The previous prime is 215232453521. The next prime is 215232453551. The reversal of 215232453540 is 45354232512.

215232453540 is a `hidden beast` number, since 2 + 1 + 52 + 32 + 4 + 535 + 40 = 666.

215232453540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6820117056 + 208412336484 = 82584^2 + 456522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 215232453495 and 215232453504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45987501 + ... + 45992180.

It is an arithmetic number, because the mean of its divisors is an integer number (9765176239).

Almost surely, 2215232453540 is an apocalyptic number.

215232453540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215232453540 is an abundant number, since it is smaller than the sum of its proper divisors (487860235668).

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

215232453540 is a wasteful number, since it uses less digits than its factorization.

215232453540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91979709 (or 91979704 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 215232453540 in words is "two hundred fifteen billion, two hundred thirty-two million, four hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 91979681 183959362 275939043 367918724 459898405 551878086 827817129 919796810 1103756172 1195735853 1379695215 1655634258 1839593620 2391471706 2759390430 3311268516 3587207559 4139085645 4782943412 5518780860 5978679265 7174415118 8278171290 10761622677 11957358530 14348830236 16556342580 17936037795 21523245354 23914717060 35872075590 43046490708 53808113385 71744151180 107616226770 215232453540