Search a number
-
+
221203201104 = 243310113936473
BaseRepresentation
bin1100111000000010111…
…1001111110001010000
3210010222000211220101000
43032000233033301100
512111011004413404
6245341440142000
721660423120564
oct3160057176120
9703860756330
10221203201104
11858a2492aa6
1236a54607900
1317b2306c312
14a9c60cb6a4
155b49b5e339
hex3380bcfc50

221203201104 has 160 divisors (see below), whose sum is σ = 645852412800. Its totient is φ = 72477158400.

The previous prime is 221203201091. The next prime is 221203201127. The reversal of 221203201104 is 401102302122.

It is a happy number.

221203201104 is a `hidden beast` number, since 221 + 20 + 320 + 1 + 104 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6046612 + ... + 6083084.

It is an arithmetic number, because the mean of its divisors is an integer number (4036577580).

Almost surely, 2221203201104 is an apocalyptic number.

221203201104 is a gapful number since it is divisible by the number (24) 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 221203201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322926206400).

221203201104 is an abundant number, since it is smaller than the sum of its proper divisors (424649211696).

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

221203201104 is a wasteful number, since it uses less digits than its factorization.

221203201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36730 (or 36718 counting only the distinct ones).

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

Adding to 221203201104 its reverse (401102302122), we get a palindrome (622305503226).

The spelling of 221203201104 in words is "two hundred twenty-one billion, two hundred three million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 139 144 202 216 278 303 404 417 432 556 606 808 834 909 1112 1212 1251 1616 1668 1818 2224 2424 2502 2727 3336 3636 3753 4848 5004 5454 6672 7272 7506 10008 10908 14039 14544 15012 20016 21816 28078 30024 36473 42117 43632 56156 60048 72946 84234 109419 112312 126351 145892 168468 218838 224624 252702 291784 328257 336936 379053 437676 505404 583568 656514 673872 758106 875352 984771 1010808 1313028 1516212 1750704 1969542 2021616 2626056 3032424 3683773 3939084 5069747 5252112 6064848 7367546 7878168 10139494 11051319 14735092 15209241 15756336 20278988 22102638 29470184 30418482 33153957 40557976 44205276 45627723 58940368 60836964 66307914 81115952 88410552 91255446 99461871 121673928 132615828 136883169 176821104 182510892 198923742 243347856 265231656 273766338 365021784 397847484 512044447 530463312 547532676 730043568 795694968 1024088894 1095065352 1536133341 1591389936 2048177788 2190130704 3072266682 4096355576 4608400023 6144533364 8192711152 9216800046 12289066728 13825200069 18433600092 24578133456 27650400138 36867200184 55300800276 73734400368 110601600552 221203201104