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223311230002340 = 2251729136811655449
BaseRepresentation
bin110010110001100110110010…
…100010011110010010100100
31002021200100022120112002112222
4302301212302202132102210
5213232212344340033330
62110535432434131512
765015463312064604
oct6261466242362244
91067610276462488
10223311230002340
1165176840696327
1221067267120b98
13977b20a6890bc
143d2046d53cc04
151ac3c86b9b0e5
hexcb19b289e4a4

223311230002340 has 96 divisors (see below), whose sum is σ = 513698981292000. Its totient is φ = 81165158645760.

The previous prime is 223311230002297. The next prime is 223311230002363. The reversal of 223311230002340 is 43200032113322.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 30569487145024 + 192741742857316 = 5528968^2 + 13883146^2 .

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, 134066936 + ... + 135722384.

It is an arithmetic number, because the mean of its divisors is an integer number (5351031055125).

Almost surely, 2223311230002340 is an apocalyptic number.

223311230002340 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 223311230002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256849490646000).

223311230002340 is an abundant number, since it is smaller than the sum of its proper divisors (290387751289660).

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

223311230002340 is a wasteful number, since it uses less digits than its factorization.

223311230002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669185 (or 1669183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 223311230002340 its reverse (43200032113322), we get a palindrome (266511262115662).

The spelling of 223311230002340 in words is "two hundred twenty-three trillion, three hundred eleven billion, two hundred thirty million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 13681 27362 54724 68405 136810 232577 273620 396749 465154 793498 930308 1162885 1586996 1655449 1983745 2325770 3310898 3967490 4651540 6621796 6744733 7934980 8277245 13489466 16554490 26978932 28142633 33108980 33723665 48008021 56285266 67447330 96016042 112570532 134894660 140713165 192032084 240040105 281426330 480080210 562852660 816136357 960160420 1632272714 3264545428 4080681785 8161363570 16322727140 22648197769 45296395538 90592791076 113240988845 226481977690 385019362073 452963955380 656797735301 770038724146 1313595470602 1540077448292 1925096810365 2627190941204 3283988676505 3850193620730 6567977353010 7700387241460 11165561500117 13135954706020 22331123000234 44662246000468 55827807500585 111655615001170 223311230002340