Search a number
-
+
244222112304 = 243283169712041
BaseRepresentation
bin1110001101110011000…
…1011011001000110000
3212100101020222202020200
43203130301123020300
513000131330043204
6304105531235200
723434023463062
oct3433461331060
9770336882220
10244222112304
1194635019755
123b3b95a8b00
131a051020131
14bb6b2dd732
156545957539
hex38dcc5b230

244222112304 has 120 divisors (see below), whose sum is σ = 692182541232. Its totient is φ = 80372490240.

The previous prime is 244222112293. The next prime is 244222112327. The reversal of 244222112304 is 403211222442.

It is a happy number.

244222112304 is a `hidden beast` number, since 2 + 4 + 422 + 2 + 1 + 1 + 230 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20276524 + ... + 20288564.

Almost surely, 2244222112304 is an apocalyptic number.

244222112304 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 244222112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346091270616).

244222112304 is an abundant number, since it is smaller than the sum of its proper divisors (447960428928).

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

244222112304 is a wasteful number, since it uses less digits than its factorization.

244222112304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13835 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244222112304 its reverse (403211222442), we get a palindrome (647433334746).

The spelling of 244222112304 in words is "two hundred forty-four billion, two hundred twenty-two million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1697 1992 2988 3394 3984 5091 5976 6788 10182 11952 12041 13576 15273 20364 24082 27152 30546 36123 40728 48164 61092 72246 81456 96328 108369 122184 140851 144492 192656 216738 244368 281702 288984 422553 433476 563404 577968 845106 866952 999403 1126808 1267659 1690212 1733904 1998806 2253616 2535318 2998209 3380424 3997612 5070636 5996418 6760848 7995224 8994627 10141272 11992836 15990448 17989254 20282544 20433577 23985672 35978508 40867154 47971344 61300731 71957016 81734308 122601462 143914032 163468616 183902193 245202924 326937232 367804386 490405848 735608772 980811696 1471217544 1695986891 2942435088 3391973782 5087960673 6783947564 10175921346 13567895128 15263882019 20351842692 27135790256 30527764038 40703685384 61055528076 81407370768 122111056152 244222112304