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221100000212 = 227134121512393
BaseRepresentation
bin1100110111101010010…
…1100100001111010100
3210010200211122202100202
43031322211210033110
512110303100001322
6245323312200032
721655030664420
oct3157245441724
9703624582322
10221100000212
118584a205703
1236a25b39018
1317b078778c0
14a9b6505b80
155b40a76292
hex337a9643d4

221100000212 has 144 divisors (see below), whose sum is σ = 491551554816. Its totient is φ = 84734208000.

The previous prime is 221100000193. The next prime is 221100000217. The reversal of 221100000212 is 212000001122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221100000193 and 221100000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100000217) 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, 92393288 + ... + 92395680.

It is an arithmetic number, because the mean of its divisors is an integer number (3413552464).

Almost surely, 2221100000212 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 221100000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245775777408).

221100000212 is an abundant number, since it is smaller than the sum of its proper divisors (270451554604).

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

221100000212 is a wasteful number, since it uses less digits than its factorization.

221100000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221100000212 its reverse (212000001122), we get a palindrome (433100001334).

The spelling of 221100000212 in words is "two hundred twenty-one billion, one hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 151 164 182 287 302 364 533 574 604 1057 1066 1148 1681 1963 2114 2132 2393 3362 3731 3926 4228 4786 6191 6724 7462 7852 9572 11767 12382 13741 14924 16751 21853 23534 24764 27482 31109 33502 43337 43706 47068 54964 62218 67004 80483 86674 87412 98113 124436 152971 160966 173348 196226 217763 253831 305942 321932 361343 392452 435526 507662 563381 611884 686791 722686 871052 1015324 1126762 1275469 1373582 1445372 1776817 2253524 2529401 2550938 2747164 3299803 3553634 4022633 4697459 5058802 5101876 6599606 7107268 8045266 8928283 9394918 10117604 13199212 14815063 16090532 17856566 18789836 23098621 28158431 29630126 32882213 35713132 46197242 52294229 56316862 59260252 65764426 92394484 103705441 104588458 112633724 131528852 192595819 207410882 209176916 366059603 385191638 414821764 607417583 732119206 770383276 1214835166 1348170733 1464238412 2429670332 2696341466 4251923081 5392682932 7896428579 8503846162 15792857158 17007692324 31585714316 55275000053 110550000106 221100000212