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223404421313320 = 235135967108682997
BaseRepresentation
bin110010110010111101100101…
…001011000111001100101000
31002022000020212020102012100021
4302302331211023013030220
5213240224223324011240
62111050324015250224
765025302552132032
oct6262754513071450
91068006766365307
10223404421313320
1165202312765605
1221081334819974
139786c3c6c6c70
143d24b90202c52
151ac63dd2ab54a
hexcb2f652c7328

223404421313320 has 128 divisors (see below), whose sum is σ = 558717556118400. Its totient is φ = 79879393668096.

The previous prime is 223404421313251. The next prime is 223404421313357. The reversal of 223404421313320 is 23313124404322.

223404421313320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 52285939 + ... + 56397058.

It is an arithmetic number, because the mean of its divisors is an integer number (4364980907175).

Almost surely, 2223404421313320 is an apocalyptic number.

223404421313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223404421313320 is an abundant number, since it is smaller than the sum of its proper divisors (335313134805080).

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

223404421313320 is a wasteful number, since it uses less digits than its factorization.

223404421313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108683147 (or 108683143 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 223404421313320 its reverse (23313124404322), we get a palindrome (246717545717642).

The spelling of 223404421313320 in words is "two hundred twenty-three trillion, four hundred four billion, four hundred twenty-one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 67 104 118 130 134 236 260 268 295 335 472 520 536 590 670 767 871 1180 1340 1534 1742 2360 2680 3068 3484 3835 3953 4355 6136 6968 7670 7906 8710 15340 15812 17420 19765 30680 31624 34840 39530 51389 79060 102778 158120 205556 256945 411112 513890 1027780 2055560 108682997 217365994 434731988 543414985 869463976 1086829970 1412878961 2173659940 2825757922 4347319880 5651515844 6412296823 7064394805 7281760799 11303031688 12824593646 14128789610 14563521598 25649187292 28257579220 29127043196 32061484115 36408803995 51298374584 56515158440 58254086392 64122968230 72817607990 83359858699 94662890387 128245936460 145635215980 166719717398 189325780774 256491872920 291270431960 333439434796 378651561548 416799293495 429623887141 473314451935 666878869592 757303123096 833598586990 859247774282 946628903870 1667197173980 1718495548564 1893257807740 2148119435705 3334394347960 3436991097128 3786515615480 4296238871410 5585110532833 8592477742820 11170221065666 17184955485640 22340442131332 27925552664165 44680884262664 55851105328330 111702210656660 223404421313320