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215333064 = 23325373773
BaseRepresentation
bin11001101010110…
…11100011001000
3120000012001102200
430311123203020
5420111124224
633211200200
75223205122
oct1465334310
9500161380
10215333064
11100605a11
1260146060
13357c541b
1420854212
1513d875c9
hexcd5b8c8

215333064 has 96 divisors (see below), whose sum is σ = 603116280. Its totient is φ = 69368832.

The previous prime is 215333047. The next prime is 215333071. The reversal of 215333064 is 460333512.

It is a happy number.

215333064 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 164096100 + 51236964 = 12810^2 + 7158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278182 + ... + 278954.

Almost surely, 2215333064 is an apocalyptic number.

215333064 is a gapful number since it is divisible by the number (24) 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 215333064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301558140).

215333064 is an abundant number, since it is smaller than the sum of its proper divisors (387783216).

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

215333064 is a wasteful number, since it uses less digits than its factorization.

215333064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 215333064 is about 14674.2312916214. The cubic root of 215333064 is about 599.3818299951.

Adding to 215333064 its reverse (460333512), we get a palindrome (675666576).

The spelling of 215333064 in words is "two hundred fifteen million, three hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 73 106 146 159 212 219 292 318 424 438 477 584 636 657 773 876 954 1272 1314 1546 1752 1908 2319 2628 3092 3816 3869 4638 5256 6184 6957 7738 9276 11607 13914 15476 18552 23214 27828 30952 34821 40969 46428 55656 56429 69642 81938 92856 112858 122907 139284 163876 169287 225716 245814 278568 327752 338574 368721 451432 491628 507861 677148 737442 983256 1015722 1354296 1474884 2031444 2949768 2990737 4062888 5981474 8972211 11962948 17944422 23925896 26916633 35888844 53833266 71777688 107666532 215333064