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221230000020 = 223527759322447
BaseRepresentation
bin1100111000001001010…
…1011110011110010100
3210011000220021102120110
43032002111132132110
512111034340000040
6245344234403020
721661166654541
oct3160225363624
9704026242513
10221230000020
1185906627467
1236a61590470
1317b28793273
14a9c98a5bc8
155b4c1a4980
hex338255e794

221230000020 has 96 divisors (see below), whose sum is σ = 622756366848. Its totient is φ = 58679949312.

The previous prime is 221230000007. The next prime is 221230000027. The reversal of 221230000020 is 20000032122.

221230000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 221229999960 and 221230000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221230000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9844437 + ... + 9866883.

It is an arithmetic number, because the mean of its divisors is an integer number (6487045488).

Almost surely, 2221230000020 is an apocalyptic number.

221230000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230000020 is an abundant number, since it is smaller than the sum of its proper divisors (401526366828).

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

221230000020 is a wasteful number, since it uses less digits than its factorization.

221230000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23329 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 221230000020 its reverse (20000032122), we get a palindrome (241230032142).

The spelling of 221230000020 in words is "two hundred twenty-one billion, two hundred thirty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 277 554 593 831 1108 1186 1385 1662 1779 2372 2770 2965 3324 3558 4155 5540 5930 7116 8310 8895 11860 16620 17790 22447 35580 44894 67341 89788 112235 134682 164261 224470 269364 328522 336705 448940 492783 657044 673410 821305 985566 1346820 1642610 1971132 2463915 3285220 4927830 6217819 9855660 12435638 13311071 18653457 24871276 26622142 31089095 37306914 39933213 53244284 62178190 66555355 74613828 79866426 93267285 124356380 133110710 159732852 186534570 199666065 266221420 373069140 399332130 798664260 3687166667 7374333334 11061500001 14748666668 18435833335 22123000002 36871666670 44246000004 55307500005 73743333340 110615000010 221230000020