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223206320 = 2455361863
BaseRepresentation
bin11010100110111…
…01101110110000
3120120000001111202
431103131232300
5424120100240
634052030332
75350136201
oct1523355660
9516001452
10223206320
11104aa3237
12629023a8
1337320c5c
14219035a8
15148e0315
hexd4ddbb0

223206320 has 80 divisors (see below), whose sum is σ = 538036992. Its totient is φ = 86062080.

The previous prime is 223206317. The next prime is 223206331. The reversal of 223206320 is 23602322.

It is a happy number.

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

It is a super-3 number, since 3×2232063203 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 223206292 and 223206301.

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, 258209 + ... + 259071.

Almost surely, 2223206320 is an apocalyptic number.

223206320 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 223206320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269018496).

223206320 is an abundant number, since it is smaller than the sum of its proper divisors (314830672).

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

223206320 is a wasteful number, since it uses less digits than its factorization.

223206320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

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

The square root of 223206320 is about 14940.0910305125. The cubic root of 223206320 is about 606.5996598429.

Adding to 223206320 its reverse (23602322), we get a palindrome (246808642).

The spelling of 223206320 in words is "two hundred twenty-three million, two hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 61 80 106 122 212 244 265 305 424 488 530 610 848 863 976 1060 1220 1726 2120 2440 3233 3452 4240 4315 4880 6466 6904 8630 12932 13808 16165 17260 25864 32330 34520 45739 51728 52643 64660 69040 91478 105286 129320 182956 210572 228695 258640 263215 365912 421144 457390 526430 731824 842288 914780 1052860 1829560 2105720 2790079 3659120 4211440 5580158 11160316 13950395 22320632 27900790 44641264 55801580 111603160 223206320