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223080312 = 233713234441
BaseRepresentation
bin11010100101111…
…10111101111000
3120112202122122210
431102332331320
5424102032222
634045215120
75346102630
oct1522767570
9515678583
10223080312
11104a175a4
12628614a0
13372a87b0
14218ad6c0
15148b7d0c
hexd4bef78

223080312 has 128 divisors (see below), whose sum is σ = 716405760. Its totient is φ = 56263680.

The previous prime is 223080287. The next prime is 223080323. The reversal of 223080312 is 213080322.

It is a super-3 number, since 3×2230803123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 48012 + ... + 52452.

It is an arithmetic number, because the mean of its divisors is an integer number (5596920).

Almost surely, 2223080312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223080312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358202880).

223080312 is an abundant number, since it is smaller than the sum of its proper divisors (493325448).

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

223080312 is a wasteful number, since it uses less digits than its factorization.

223080312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 223080312 is about 14935.8733256546. The cubic root of 223080312 is about 606.4854892434.

The spelling of 223080312 in words is "two hundred twenty-three million, eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 84 91 92 104 138 156 161 168 182 184 273 276 299 312 322 364 483 546 552 598 644 728 897 966 1092 1196 1288 1794 1932 2093 2184 2392 3588 3864 4186 4441 6279 7176 8372 8882 12558 13323 16744 17764 25116 26646 31087 35528 50232 53292 57733 62174 93261 102143 106584 115466 124348 173199 186522 204286 230932 248696 306429 346398 373044 404131 408572 461864 612858 692796 715001 746088 808262 817144 1212393 1225716 1327859 1385592 1430002 1616524 2145003 2424786 2451432 2655718 2860004 3233048 3983577 4290006 4849572 5311436 5720008 7967154 8580012 9295013 9699144 10622872 15934308 17160024 18590026 27885039 31868616 37180052 55770078 74360104 111540156 223080312