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223200020 = 225211227233
BaseRepresentation
bin11010100110111…
…00001100010100
3120112222201212102
431103130030110
5424114400040
634051541232
75350111631
oct1523341424
9515881772
10223200020
11104a9952a
12628ba818
133731b124
1421901188
15148dd515
hexd4dc314

223200020 has 48 divisors (see below), whose sum is σ = 475046208. Its totient is φ = 88085760.

The previous prime is 223199939. The next prime is 223200067. The reversal of 223200020 is 20002322.

It is a super-3 number, since 3×2232000203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223199974 and 223200010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957824 + ... + 958056.

It is an arithmetic number, because the mean of its divisors is an integer number (9896796).

Almost surely, 2223200020 is an apocalyptic number.

223200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223200020 is an abundant number, since it is smaller than the sum of its proper divisors (251846188).

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

223200020 is a wasteful number, since it uses less digits than its factorization.

223200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

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

The square root of 223200020 is about 14939.8801869359. The cubic root of 223200020 is about 606.5939526960.

Adding to 223200020 its reverse (20002322), we get a palindrome (243202342).

The spelling of 223200020 in words is "two hundred twenty-three million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 211 227 233 422 454 466 844 908 932 1055 1135 1165 2110 2270 2330 4220 4540 4660 47897 49163 52891 95794 98326 105782 191588 196652 211564 239485 245815 264455 478970 491630 528910 957940 983260 1057820 11160001 22320002 44640004 55800005 111600010 223200020