Search a number
-
+
13222210212 = 22324124593643
BaseRepresentation
bin11000101000001101…
…01110101010100100
31021010110220212120100
430110012232222210
5204034341211322
610024005504100
7645441634551
oct142406565244
937113825510
1013222210212
115675658262
122690112030
131329434433
148d608da28
15525be6dac
hex3141aeaa4

13222210212 has 72 divisors (see below), whose sum is σ = 34261325280. Its totient is φ = 4296977280.

The previous prime is 13222210189. The next prime is 13222210217. The reversal of 13222210212 is 21201222231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13222210217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3627663 + ... + 3631305.

It is an arithmetic number, because the mean of its divisors is an integer number (475851740).

Almost surely, 213222210212 is an apocalyptic number.

13222210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130662640).

13222210212 is an abundant number, since it is smaller than the sum of its proper divisors (21039115068).

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

13222210212 is a wasteful number, since it uses less digits than its factorization.

13222210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13222210212 its reverse (21201222231), we get a palindrome (34423432443).

The spelling of 13222210212 in words is "thirteen billion, two hundred twenty-two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2459 3643 4918 7286 7377 9836 10929 14572 14754 21858 22131 29508 32787 43716 44262 65574 88524 100819 131148 149363 201638 298726 302457 403276 448089 597452 604914 896178 907371 1209828 1344267 1792356 1814742 2688534 3629484 5377068 8958137 17916274 26874411 35832548 53748822 80623233 107497644 161246466 322492932 367283617 734567234 1101850851 1469134468 2203701702 3305552553 4407403404 6611105106 13222210212