Search a number
-
+
216335306124 = 2232710182910253
BaseRepresentation
bin1100100101111010010…
…1101100110110001100
3202200101210001012211100
43021132211230312030
512021023314243444
6243214424223100
721425663522130
oct3113645546614
9680353035740
10216335306124
11838247054a3
1235b1630aa90
13175286b53a2
14a6837b73c0
1559625eee69
hex325e96cd8c

216335306124 has 144 divisors (see below), whose sum is σ = 631979449920. Its totient is φ = 61118323200.

The previous prime is 216335306123. The next prime is 216335306149. The reversal of 216335306124 is 421603533612.

216335306124 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 3 + 5 + 30 + 612 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (216335306123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21094582 + ... + 21104834.

It is an arithmetic number, because the mean of its divisors is an integer number (4388746180).

Almost surely, 2216335306124 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 216335306124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315989724960).

216335306124 is an abundant number, since it is smaller than the sum of its proper divisors (415644143796).

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

216335306124 is a wasteful number, since it uses less digits than its factorization.

216335306124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 216335306124 its reverse (421603533612), we get a palindrome (637938839736).

The spelling of 216335306124 in words is "two hundred sixteen billion, three hundred thirty-five million, three hundred six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 829 909 1212 1414 1658 1818 2121 2487 2828 3316 3636 4242 4974 5803 6363 7461 8484 9948 10253 11606 12726 14922 17409 20506 23212 25452 29844 30759 34818 41012 52227 61518 69636 71771 83729 92277 104454 123036 143542 167458 184554 208908 215313 251187 287084 334916 369108 430626 502374 586103 645939 753561 861252 1004748 1035553 1172206 1291878 1507122 1758309 2071106 2344412 2583756 3014244 3106659 3516618 4142212 5274927 6213318 7033236 7248871 8499737 9319977 10549854 12426636 14497742 16999474 18639954 21099708 21746613 25499211 28995484 33998948 37279908 43493226 50998422 59498159 65239839 76497633 86986452 101996844 118996318 130479678 152995266 178494477 237992636 260959356 305990532 356988954 535483431 713977908 858473437 1070966862 1716946874 2141933724 2575420311 3433893748 5150840622 6009314059 7726260933 10301681244 12018628118 15452521866 18027942177 24037256236 30905043732 36055884354 54083826531 72111768708 108167653062 216335306124