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223240003440 = 24351631956999
BaseRepresentation
bin1100111111101000100…
…1000001111101110000
3210100012222110011220120
43033322021001331300
512124143420102230
6250315520010240
722062044502036
oct3177211017560
9710188404816
10223240003440
1186748186813
1237322760980
13180890308bc
14ab3a806556
155c18891310
hex33fa241f70

223240003440 has 80 divisors (see below), whose sum is σ = 692098560000. Its totient is φ = 59525975296.

The previous prime is 223240003417. The next prime is 223240003451. The reversal of 223240003440 is 44300042322.

223240003440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2232400034403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223240003440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3888061 + ... + 3945059.

It is an arithmetic number, because the mean of its divisors is an integer number (8651232000).

Almost surely, 2223240003440 is an apocalyptic number.

223240003440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223240003440 is an abundant number, since it is smaller than the sum of its proper divisors (468858556560).

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

223240003440 is a wasteful number, since it uses less digits than its factorization.

223240003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73334 (or 73328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 223240003440 its reverse (44300042322), we get a palindrome (267540045762).

The spelling of 223240003440 in words is "two hundred twenty-three billion, two hundred forty million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16319 32638 48957 56999 65276 81595 97914 113998 130552 163190 170997 195828 227996 244785 261104 284995 326380 341994 391656 455992 489570 569990 652760 683988 783312 854985 911984 979140 1139980 1305520 1367976 1709970 1958280 2279960 2735952 3419940 3916560 4559920 6839880 13679760 930166681 1860333362 2790500043 3720666724 4650833405 5581000086 7441333448 9301666810 11162000172 13952500215 14882666896 18603333620 22324000344 27905000430 37206667240 44648000688 55810000860 74413334480 111620001720 223240003440