Search a number
-
+
215008068 = 223115373421
BaseRepresentation
bin11001101000011…
…00001101000100
3112222120112121210
430310030031010
5420020224233
633200211420
75220352452
oct1464141504
9488515553
10215008068
11100403820
1260009b70
1335710512
14207ab9d2
1513d21163
hexcd0c344

215008068 has 96 divisors (see below), whose sum is σ = 566600832. Its totient is φ = 62899200.

The previous prime is 215008067. The next prime is 215008091. The reversal of 215008068 is 860800512.

It is not an unprimeable number, because it can be changed into a prime (215008063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510498 + ... + 510918.

It is an arithmetic number, because the mean of its divisors is an integer number (5902092).

Almost surely, 2215008068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215008068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283300416).

215008068 is an abundant number, since it is smaller than the sum of its proper divisors (351592764).

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

215008068 is a wasteful number, since it uses less digits than its factorization.

215008068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 215008068 is about 14663.1534125508. The cubic root of 215008068 is about 599.0801349122.

The spelling of 215008068 in words is "two hundred fifteen million, eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 73 106 132 146 159 212 219 292 318 421 438 583 636 803 842 876 1166 1263 1606 1684 1749 2332 2409 2526 3212 3498 3869 4631 4818 5052 6996 7738 9262 9636 11607 13893 15476 18524 22313 23214 27786 30733 42559 44626 46428 55572 61466 66939 85118 89252 92199 122932 127677 133878 170236 184398 245443 255354 267756 338063 368796 490886 510708 676126 736329 981772 1014189 1352252 1472658 1628849 2028378 2945316 3257698 4056756 4886547 6515396 9773094 17917339 19546188 35834678 53752017 71669356 107504034 215008068