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223242232111440 = 243519346714120747
BaseRepresentation
bin110010110000100110100001…
…111100011010000101010000
31002021102202012222211001221020
4302300212201330122011100
5213230100042410031230
62110444022101555440
765010501423512043
oct6260464174320520
91067382188731836
10223242232111440
116514a5541286a3
1221055a0ba15b80
139774862a39919
143d1ada5a62c5a
151ac2099536810
hexcb09a1f1a150

223242232111440 has 160 divisors (see below), whose sum is σ = 728684820472320. Its totient is φ = 56381766492672.

The previous prime is 223242232111429. The next prime is 223242232111489. The reversal of 223242232111440 is 44111232242322.

It is a super-3 number, since 3×2232422321114403 (a number of 44 digits) contains 333 as substring.

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, 8749147 + ... + 22869893.

It is an arithmetic number, because the mean of its divisors is an integer number (4554280127952).

Almost surely, 2223242232111440 is an apocalyptic number.

223242232111440 is a gapful number since it is divisible by the number (20) 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 223242232111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364342410236160).

223242232111440 is an abundant number, since it is smaller than the sum of its proper divisors (505442588360880).

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

223242232111440 is a wasteful number, since it uses less digits than its factorization.

223242232111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14124249 (or 14124243 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 223242232111440 its reverse (44111232242322), we get a palindrome (267353464353762).

The spelling of 223242232111440 in words is "two hundred twenty-three trillion, two hundred forty-two billion, two hundred thirty-two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 3467 4560 6934 10401 13868 17335 20802 27736 34670 41604 52005 55472 65873 69340 83208 104010 131746 138680 166416 197619 208020 263492 277360 329365 395238 416040 526984 658730 790476 832080 988095 1053968 1317460 1580952 1976190 2634920 3161904 3952380 5269840 7904760 14120747 15809520 28241494 42362241 56482988 70603735 84724482 112965976 141207470 169448964 211811205 225931952 268294193 282414940 338897928 423622410 536588386 564829880 677795856 804882579 847244820 1073176772 1129659760 1341470965 1609765158 1694489640 2146353544 2682941930 3219530316 3388979280 4024412895 4292707088 5365883860 6439060632 8048825790 10731767720 12878121264 16097651580 21463535440 32195303160 48956629849 64390606320 97913259698 146869889547 195826519396 244783149245 293739779094 391653038792 489566298490 587479558188 734349447735 783306077584 930175967131 979132596980 1174959116376 1468698895470 1860351934262 1958265193960 2349918232752 2790527901393 2937397790940 3720703868524 3916530387920 4650879835655 5581055802786 5874795581880 7441407737048 9301759671310 11162111605572 11749591163760 13952639506965 14882815474096 18603519342620 22324223211144 27905279013930 37207038685240 44648446422288 55810558027860 74414077370480 111621116055720 223242232111440