Search a number
-
+
213866233236 = 223247261748299
BaseRepresentation
bin1100011100101101101…
…0111011110110010100
3202110000201001022120100
43013023122323312110
512000444223430421
6242125423334100
721310542662655
oct3071332736624
9673021038510
10213866233236
1182777a05497
1235547451330
1317223cc3c06
14a4cb8d752c
15586a982c26
hex31cb6bbd94

213866233236 has 72 divisors (see below), whose sum is σ = 552330979200. Its totient is φ = 69743857536.

The previous prime is 213866233181. The next prime is 213866233247. The reversal of 213866233236 is 632332668312.

213866233236 is a `hidden beast` number, since 2 + 1 + 386 + 6 + 2 + 33 + 236 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213866233191 and 213866233200.

It is a congruent number.

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, 4403815 + ... + 4452113.

It is an arithmetic number, because the mean of its divisors is an integer number (7671263600).

Almost surely, 2213866233236 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 213866233236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276165489600).

213866233236 is an abundant number, since it is smaller than the sum of its proper divisors (338464745964).

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

213866233236 is a wasteful number, since it uses less digits than its factorization.

213866233236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50973 (or 50968 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 213866233236 in words is "two hundred thirteen billion, eight hundred sixty-six million, two hundred thirty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2617 5234 7851 10468 15702 23553 31404 47106 48299 94212 96598 122999 144897 193196 245998 289794 368997 434691 491996 579588 737994 869382 1106991 1475988 1738764 2213982 2270053 4427964 4540106 6810159 9080212 13620318 20430477 27240636 40860954 81721908 126398483 252796966 379195449 505593932 758390898 1137586347 1516781796 2275172694 4550345388 5940728701 11881457402 17822186103 23762914804 35644372206 53466558309 71288744412 106933116618 213866233236