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20322405200 = 2452174763587
BaseRepresentation
bin10010111011010011…
…110100101101010000
31221110022012011001002
4102323103310231100
5313110013431300
613200323401132
71316415410516
oct227323645520
957408164032
1020322405200
1186895168a9
123b31b231a8
131bbb41b846
14dab04c4b6
157de2035d5
hex4bb4f4b50

20322405200 has 120 divisors (see below), whose sum is σ = 52797370752. Its totient is φ = 7487887360.

The previous prime is 20322405199. The next prime is 20322405241. The reversal of 20322405200 is 250422302.

It is a super-2 number, since 2×203224052002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287807 + ... + 351393.

Almost surely, 220322405200 is an apocalyptic number.

20322405200 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 20322405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26398685376).

20322405200 is an abundant number, since it is smaller than the sum of its proper divisors (32474965552).

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

20322405200 is a wasteful number, since it uses less digits than its factorization.

20322405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63669 (or 63658 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 20322405200 its reverse (250422302), we get a palindrome (20572827502).

The spelling of 20322405200 in words is "twenty billion, three hundred twenty-two million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 47 50 68 80 85 94 100 136 170 188 200 235 272 340 376 400 425 470 680 752 799 850 940 1175 1360 1598 1700 1880 2350 3196 3400 3760 3995 4700 6392 6800 7990 9400 12784 15980 18800 19975 31960 39950 63587 63920 79900 127174 159800 254348 317935 319600 508696 635870 1017392 1080979 1271740 1589675 2161958 2543480 2988589 3179350 4323916 5086960 5404895 5977178 6358700 8647832 10809790 11954356 12717400 14942945 17295664 21619580 23908712 25434800 27024475 29885890 43239160 47817424 50806013 54048950 59771780 74714725 86478320 101612026 108097900 119543560 149429450 203224052 216195800 239087120 254030065 298858900 406448104 432391600 508060130 597717800 812896208 1016120260 1195435600 1270150325 2032240520 2540300650 4064481040 5080601300 10161202600 20322405200