Search a number
-
+
223333201112320 = 2851340847328579
BaseRepresentation
bin110010110001111011010000…
…000111100110110100000000
31002021202110000210001010101001
4302301323100013212310000
5213233042343441043240
62110553504535221344
765020201630330045
oct6261732007466400
91067673023033331
10223333201112320
116518509581a462
122106b579217854
1397802cc5343b0
143d2155551d1cc
151ac46209be89a
hexcb1ed01e6d00

223333201112320 has 144 divisors (see below), whose sum is σ = 576118881596160. Its totient is φ = 82459219894272.

The previous prime is 223333201112291. The next prime is 223333201112321. The reversal of 223333201112320 is 23211102333322.

It is a happy number.

It is a super-3 number, since 3×2233332011123203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223333201112321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679529791 + ... + 679858369.

It is an arithmetic number, because the mean of its divisors is an integer number (4000825566640).

Almost surely, 2223333201112320 is an apocalyptic number.

223333201112320 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 223333201112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288059440798080).

223333201112320 is an abundant number, since it is smaller than the sum of its proper divisors (352785680483840).

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

223333201112320 is a wasteful number, since it uses less digits than its factorization.

223333201112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369460 (or 369446 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 223333201112320 its reverse (23211102333322), we get a palindrome (246544303445642).

The spelling of 223333201112320 in words is "two hundred twenty-three trillion, three hundred thirty-three billion, two hundred one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 40847 81694 163388 204235 326776 328579 408470 531011 653552 657158 816940 1062022 1307104 1314316 1633880 1642895 2124044 2614208 2628632 2655055 3267760 3285790 4248088 4271527 5228416 5257264 5310110 6535520 6571580 8496176 8543054 10456832 10514528 10620220 13071040 13143160 16992352 17086108 21029056 21240440 21357635 26142080 26286320 33984704 34172216 42058112 42480880 42715270 52284160 52572640 67969408 68344432 84116224 84961760 85430540 105145280 135938816 136688864 169923520 170861080 210290560 273377728 339847040 341722160 420581120 546755456 679694080 683444320 1093510912 1366888640 2733777280 5467554560 13421466413 26842932826 53685865652 67107332065 107371731304 134214664130 174479063369 214743462608 268429328260 348958126738 429486925216 536858656520 697916253476 858973850432 872395316845 1073717313040 1395832506952 1717947700864 1744790633690 2147434626080 2791665013904 3435895401728 3489581267380 4294869252160 5583330027808 6979162534760 8589738504320 11166660055616 13958325069520 17179477008640 22333320111232 27916650139040 44666640222464 55833300278080 111666600556160 223333201112320