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223300000020 = 223519599327007
BaseRepresentation
bin1100111111110110110…
…1111001100100010100
3210100101011100022202010
43033331231321210110
512124304300000040
6250325501544220
722063403453136
oct3177555714424
9710334308663
10223300000020
1186779035069
123733a875070
13180985a9136
14ab44783056
155c1dc92e80
hex33fdb79914

223300000020 has 96 divisors (see below), whose sum is σ = 659248128000. Its totient is φ = 56318281344.

The previous prime is 223299999947. The next prime is 223300000037. The reversal of 223300000020 is 20000003322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 223299999951 and 223300000005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519357 + ... + 846363.

It is an arithmetic number, because the mean of its divisors is an integer number (6867168000).

Almost surely, 2223300000020 is an apocalyptic number.

223300000020 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 223300000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329624064000).

223300000020 is an abundant number, since it is smaller than the sum of its proper divisors (435948127980).

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

223300000020 is a wasteful number, since it uses less digits than its factorization.

223300000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327637 (or 327635 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 223300000020 its reverse (20000003322), we get a palindrome (243300003342).

The spelling of 223300000020 in words is "two hundred twenty-three billion, three hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 599 1140 1198 1797 2396 2995 3594 5990 7188 8985 11381 11980 17970 22762 34143 35940 45524 56905 68286 113810 136572 170715 227620 327007 341430 654014 682860 981021 1308028 1635035 1962042 3270070 3924084 4905105 6213133 6540140 9810210 12426266 18639399 19620420 24852532 31065665 37278798 62131330 74557596 93196995 124262660 186393990 195877193 372787980 391754386 587631579 783508772 979385965 1175263158 1958771930 2350526316 2938157895 3721666667 3917543860 5876315790 7443333334 11165000001 11752631580 14886666668 18608333335 22330000002 37216666670 44660000004 55825000005 74433333340 111650000010 223300000020