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3202000020 = 22325473111217
BaseRepresentation
bin1011111011011010…
…1010010010010100
322021011010110021100
42332312222102110
523024203000040
61245421550100
7142230360012
oct27666522224
98234113240
103202000020
1113a349a00a
12754415330
133c04bbc8b
142253898b2
1513b195b30
hexbedaa494

3202000020 has 144 divisors (see below), whose sum is σ = 9959459328. Its totient is φ = 832327680.

The previous prime is 3201999991. The next prime is 3202000049. The reversal of 3202000020 is 200002023.

It is an interprime number because it is at equal distance from previous prime (3201999991) and next prime (3202000049).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3201999966 and 3202000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2630452 + ... + 2631668.

It is an arithmetic number, because the mean of its divisors is an integer number (69162912).

Almost surely, 23202000020 is an apocalyptic number.

3202000020 is a gapful number since it is divisible by the number (30) 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 3202000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979729664).

3202000020 is an abundant number, since it is smaller than the sum of its proper divisors (6757459308).

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

3202000020 is a wasteful number, since it uses less digits than its factorization.

3202000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3202000020 is about 56586.2175799019. The cubic root of 3202000020 is about 1473.9195412131.

Adding to 3202000020 its reverse (200002023), we get a palindrome (3402002043).

The spelling of 3202000020 in words is "three billion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 311 423 470 564 622 705 846 933 940 1217 1244 1410 1555 1692 1866 2115 2434 2799 2820 3110 3651 3732 4230 4665 4868 5598 6085 6220 7302 8460 9330 10953 11196 12170 13995 14604 14617 18255 18660 21906 24340 27990 29234 36510 43812 43851 54765 55980 57199 58468 73020 73085 87702 109530 114398 131553 146170 171597 175404 219060 219255 228796 263106 285995 292340 343194 378487 438510 514791 526212 571990 657765 686388 756974 857985 877020 1029582 1135461 1143980 1315530 1513948 1715970 1892435 2059164 2270922 2573955 2631060 3406383 3431940 3784870 4541844 5147910 5677305 6812766 7569740 10295820 11354610 13625532 17031915 17788889 22709220 34063830 35577778 53366667 68127660 71155556 88944445 106733334 160100001 177888890 213466668 266833335 320200002 355777780 533666670 640400004 800500005 1067333340 1601000010 3202000020