Search a number
-
+
222103103432 = 237891372391361
BaseRepresentation
bin1100111011011001100…
…0000110011111001000
3210020021202011200021212
43032312120012133020
512114331343302212
6250011024152252
722021631141540
oct3166630063710
9706252150255
10222103103432
1186214458a31
1237065a68688
1317c376303c2
14aa6d820320
155b9db6be22
hex33b66067c8

222103103432 has 128 divisors (see below), whose sum is σ = 487181952000. Its totient is φ = 92971253760.

The previous prime is 222103103413. The next prime is 222103103447. The reversal of 222103103432 is 234301301222.

222103103432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222103103398 and 222103103407.

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 31 ways as a sum of consecutive naturals, for example, 163190432 + ... + 163191792.

It is an arithmetic number, because the mean of its divisors is an integer number (3806109000).

Almost surely, 2222103103432 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 222103103432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243590976000).

222103103432 is an abundant number, since it is smaller than the sum of its proper divisors (265078848568).

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

222103103432 is a wasteful number, since it uses less digits than its factorization.

222103103432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 222103103432 its reverse (234301301222), we get a palindrome (456404404654).

The spelling of 222103103432 in words is "two hundred twenty-two billion, one hundred three million, one hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 89 137 178 239 274 356 478 548 623 712 956 959 1096 1246 1361 1673 1912 1918 2492 2722 3346 3836 4984 5444 6692 7672 9527 10888 12193 13384 19054 21271 24386 32743 38108 42542 48772 65486 76216 85084 85351 97544 121129 130972 148897 170168 170702 186457 229201 242258 261944 297794 325279 341404 372914 458402 484516 595588 650558 682808 745828 847903 916804 969032 1191176 1301116 1305199 1491656 1695806 1833608 2276953 2602232 2610398 2914127 3391612 4553906 5220796 5828254 6783224 9107812 10441592 11656508 16594673 18215624 20398889 23313016 28949831 33189346 40797778 44563223 57899662 66378692 81595556 89126446 115799324 116162711 132757384 163191112 178252892 202648817 231598648 232325422 311942561 356505784 405297634 464650844 623885122 810595268 929301688 1247770244 1621190536 2495540488 3966126847 7932253694 15864507388 27762887929 31729014776 55525775858 111051551716 222103103432