Search a number
-
+
12223674100 = 22521126116561
BaseRepresentation
bin10110110001001011…
…00111011011110100
31011112212222222112101
423120211213123310
5200013230032400
65340535431444
7611625341551
oct133045473364
934485888471
1012223674100
115202a44300
122451825584
1311ca5ba671
1483d603a28
154b820456a
hex2d89676f4

12223674100 has 108 divisors (see below), whose sum is σ = 29635744684. Its totient is φ = 4371840000.

The previous prime is 12223674061. The next prime is 12223674121. The reversal of 12223674100 is 147632221.

It can be written as a sum of positive squares in 6 ways, for example, as 5460914404 + 6762759696 = 73898^2 + 82236^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 729820 + ... + 746380.

Almost surely, 212223674100 is an apocalyptic number.

12223674100 is a gapful number since it is divisible by the number (10) 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 12223674100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817872342).

12223674100 is an abundant number, since it is smaller than the sum of its proper divisors (17412070584).

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

12223674100 is a wasteful number, since it uses less digits than its factorization.

12223674100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 12223674100 in words is "twelve billion, two hundred twenty-three million, six hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 121 122 220 242 244 275 305 484 550 605 610 671 1100 1210 1220 1342 1525 2420 2684 3025 3050 3355 6050 6100 6710 7381 12100 13420 14762 16561 16775 29524 33122 33550 36905 66244 67100 73810 82805 147620 165610 182171 184525 331220 364342 369050 414025 728684 738100 828050 910855 1010221 1656100 1821710 2003881 2020442 3643420 4007762 4040884 4554275 5051105 8015524 9108550 10019405 10102210 11112431 18217100 20038810 20204420 22224862 25255525 40077620 44449724 50097025 50511050 55562155 100194050 101022100 111124310 122236741 200388100 222248620 244473482 277810775 488946964 555621550 611183705 1111243100 1222367410 2444734820 3055918525 6111837050 12223674100