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212224043106 = 23283751189149
BaseRepresentation
bin1100010110100110001…
…0011110100001100010
3202021210020222102012200
43011221202132201202
511434113323334411
6241254441434030
721222052413435
oct3055142364142
9667706872180
10212224043106
1182004a37769
123516949b916
1317021a0878a
14a3b377d81c
1557c16ece56
hex316989e862

212224043106 has 48 divisors (see below), whose sum is σ = 465980860800. Its totient is φ = 69795612000.

The previous prime is 212224043027. The next prime is 212224043149. The reversal of 212224043106 is 601340422212.

212224043106 is a `hidden beast` number, since 2 + 1 + 2 + 224 + 0 + 431 + 0 + 6 = 666.

It is a super-2 number, since 2×2122240431062 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212224043106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027420 + ... + 1216568.

It is an arithmetic number, because the mean of its divisors is an integer number (9707934600).

Almost surely, 2212224043106 is an apocalyptic number.

212224043106 is an abundant number, since it is smaller than the sum of its proper divisors (253756817694).

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

212224043106 is a wasteful number, since it uses less digits than its factorization.

212224043106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189991 (or 189988 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212224043106 its reverse (601340422212), we get a palindrome (813564465318).

The spelling of 212224043106 in words is "two hundred twelve billion, two hundred twenty-four million, forty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 751 1494 1502 2253 4506 6759 13518 62333 124666 186999 189149 373998 378298 560997 567447 1121994 1134894 1702341 3404682 15699367 31398734 47098101 94196202 141294303 142050899 282588606 284101798 426152697 852305394 1278458091 2556916182 11790224617 23580449234 35370673851 70741347702 106112021553 212224043106