Search a number
-
+
222045421104 = 243213321736871
BaseRepresentation
bin1100111011001011110…
…0000011111000110000
3210020010201122010000100
43032302330003320300
512114222111433404
6250001203552400
722020330636513
oct3166274037060
9706121563010
10222045421104
1186194940391
123704a68b700
1317c286b5350
14aa65cc6d7a
155b98a75d39
hex33b2f03e30

222045421104 has 120 divisors (see below), whose sum is σ = 669446409632. Its totient is φ = 68298577920.

The previous prime is 222045421097. The next prime is 222045421123. The reversal of 222045421104 is 401124540222.

It is a happy number.

222045421104 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 4 + 542 + 110 + 4 = 666.

222045421104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 6003789 + ... + 6040659.

Almost surely, 2222045421104 is an apocalyptic number.

222045421104 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 222045421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334723204816).

222045421104 is an abundant number, since it is smaller than the sum of its proper divisors (447400988528).

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

222045421104 is a wasteful number, since it uses less digits than its factorization.

222045421104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40115 (or 40106 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 222045421104 its reverse (401124540222), we get a palindrome (623169961326).

The spelling of 222045421104 in words is "two hundred twenty-two billion, forty-five million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3217 6434 9651 12868 19302 25736 28953 36871 38604 41821 51472 57906 73742 77208 83642 110613 115812 125463 147484 154416 167284 221226 231624 250926 294968 331839 334568 376389 442452 463248 479323 501852 589936 663678 669136 752778 884904 958646 1003704 1327356 1437969 1505556 1769808 1917292 2007408 2654712 2875938 3011112 3834584 4313907 5309424 5751876 6022224 7669168 8627814 11503752 17255628 23007504 34511256 69022512 118614007 237228014 355842021 474456028 711684042 948912056 1067526063 1423368084 1541982091 1897824112 2135052126 2846736168 3083964182 4270104252 4625946273 5693472336 6167928364 8540208504 9251892546 12335856728 13877838819 17080417008 18503785092 24671713456 27755677638 37007570184 55511355276 74015140368 111022710552 222045421104