Search a number
-
+
215231556560 = 2454165619377
BaseRepresentation
bin1100100001110011001…
…1001110101111010000
3202120112212010221001212
43020130303032233100
512011243234302220
6242513115115252
721356432021306
oct3103463165720
9676485127055
10215231556560
118330866a079
1235868742b28
13173b0b20b37
14a5bad80276
1558ea7780c5
hex321cccebd0

215231556560 has 40 divisors (see below), whose sum is σ = 512618580936. Its totient is φ = 83992801280.

The previous prime is 215231556539. The next prime is 215231556571. The reversal of 215231556560 is 65655132512.

215231556560 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 12324552256 + 202907004304 = 111016^2 + 450452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 32806409 + ... + 32812968.

Almost surely, 2215231556560 is an apocalyptic number.

215231556560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215231556560 is an abundant number, since it is smaller than the sum of its proper divisors (297387024376).

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

215231556560 is a wasteful number, since it uses less digits than its factorization.

215231556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65619431 (or 65619425 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 215231556560 in words is "two hundred fifteen billion, two hundred thirty-one million, five hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 65619377 131238754 262477508 328096885 524955016 656193770 1049910032 1312387540 2624775080 2690394457 5249550160 5380788914 10761577828 13451972285 21523155656 26903944570 43046311312 53807889140 107615778280 215231556560