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223020200 = 235213312767
BaseRepresentation
bin11010100101100…
…00010010101000
3120112122121012102
431102300102220
5424043121300
634044032532
75345432444
oct1522602250
9515577172
10223020200
11104986417
1262832748
1337287320
1421895824
15148a50d5
hexd4b04a8

223020200 has 96 divisors (see below), whose sum is σ = 576629760. Its totient is φ = 79660800.

The previous prime is 223020199. The next prime is 223020211. The reversal of 223020200 is 2020322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79217 + ... + 81983.

It is an arithmetic number, because the mean of its divisors is an integer number (6006560).

Almost surely, 2223020200 is an apocalyptic number.

223020200 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 223020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288314880).

223020200 is an abundant number, since it is smaller than the sum of its proper divisors (353609560).

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

223020200 is a wasteful number, since it uses less digits than its factorization.

223020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 223020200 is about 14933.8608537779. The cubic root of 223020200 is about 606.4310091169.

Adding to 223020200 its reverse (2020322), we get a palindrome (225040522).

The spelling of 223020200 in words is "two hundred twenty-three million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 2767 3100 3224 4030 5534 6200 8060 10075 11068 13835 16120 20150 22136 27670 35971 40300 55340 69175 71942 80600 85777 110680 138350 143884 171554 179855 276700 287768 343108 359710 428885 553400 686216 719420 857770 899275 1115101 1438840 1715540 1798550 2144425 2230202 3431080 3597100 4288850 4460404 5575505 7194200 8577700 8920808 11151010 17155400 22302020 27877525 44604040 55755050 111510100 223020200