Search a number
-
+
212327568 = 243597563
BaseRepresentation
bin11001010011111…
…01110010010000
3112210112100200000
430221331302100
5413323440233
633022530000
75155516545
oct1451756220
9483470600
10212327568
11a9942932
125b136900
1334cb241b
14202b0bcc
1513991d13
hexca7dc90

212327568 has 120 divisors (see below), whose sum is σ = 623689248. Its totient is φ = 69921792.

The previous prime is 212327543. The next prime is 212327579. The reversal of 212327568 is 865723212.

212327568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123275682 = 90165992265589248, which contains 22 as substring.

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

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, 376855 + ... + 377417.

Almost surely, 2212327568 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 212327568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311844624).

212327568 is an abundant number, since it is smaller than the sum of its proper divisors (411361680).

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

212327568 is an equidigital number, since it uses as much as digits as its factorization.

212327568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 212327568 is about 14571.4641680237. The cubic root of 212327568 is about 596.5801446833.

The spelling of 212327568 in words is "two hundred twelve million, three hundred twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 243 291 324 388 432 486 563 582 648 776 873 972 1126 1164 1296 1552 1689 1746 1944 2252 2328 2619 3378 3492 3888 4504 4656 5067 5238 6756 6984 7857 9008 10134 10476 13512 13968 15201 15714 20268 20952 23571 27024 30402 31428 40536 41904 45603 47142 54611 60804 62856 81072 91206 94284 109222 121608 125712 136809 163833 182412 188568 218444 243216 273618 327666 364824 377136 436888 491499 547236 655332 729648 873776 982998 1094472 1310664 1474497 1965996 2188944 2621328 2948994 3931992 4423491 5897988 7863984 8846982 11795976 13270473 17693964 23591952 26540946 35387928 53081892 70775856 106163784 212327568