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223343120 = 245711132789
BaseRepresentation
bin11010100111111…
…11001000010000
3120120021000011102
431103333020100
5424133434440
634055003532
75351246060
oct1523771020
9516230142
10223343120
11105086aa0
12629695a8
133736b2c0
142193b3a0
151491ab15
hexd4ff210

223343120 has 160 divisors (see below), whose sum is σ = 697455360. Its totient is φ = 64235520.

The previous prime is 223343117. The next prime is 223343129. The reversal of 223343120 is 21343322.

223343120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223343092 and 223343101.

It is not an unprimeable number, because it can be changed into a prime (223343129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78686 + ... + 81474.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2223343120 is an apocalyptic number.

223343120 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 223343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

223343120 is an abundant number, since it is smaller than the sum of its proper divisors (474112240).

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

223343120 is a wasteful number, since it uses less digits than its factorization.

223343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 223343120 is about 14944.6686145930. The cubic root of 223343120 is about 606.7235599879.

Adding to 223343120 its reverse (21343322), we get a palindrome (244686442).

It can be divided in two parts, 223 and 343120, that added together give a palindrome (343343).

The spelling of 223343120 in words is "two hundred twenty-three million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2789 2860 3080 3640 4004 5005 5578 5720 6160 7280 8008 10010 11156 11440 13945 16016 19523 20020 22312 27890 30679 36257 39046 40040 44624 55780 61358 72514 78092 80080 97615 111560 122716 145028 153395 156184 181285 195230 214753 223120 245432 253799 290056 306790 312368 362570 390460 398827 429506 490864 507598 580112 613580 725140 780920 797654 859012 1015196 1073765 1227160 1268995 1450280 1561840 1595308 1718024 1994135 2030392 2147530 2454320 2537990 2791789 2900560 3190616 3436048 3988270 4060784 4295060 5075980 5583578 6381232 7976540 8590120 10151960 11167156 13958945 15953080 17180240 20303920 22334312 27917890 31906160 44668624 55835780 111671560 223343120