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19932220 = 2257211432
BaseRepresentation
bin100110000001…
…0010000111100
31101111122212101
41030002100330
520100312340
61551114444
7331264300
oct114022074
941448771
1019932220
1110284410
126812a24
13418b619
14290bd00
151b3ac9a
hex130243c

19932220 has 108 divisors (see below), whose sum is σ = 54382104. Its totient is φ = 6068160.

The previous prime is 19932217. The next prime is 19932221. The reversal of 19932220 is 2223991.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19932221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 463519 + ... + 463561.

It is an arithmetic number, because the mean of its divisors is an integer number (503538).

Almost surely, 219932220 is an apocalyptic number.

19932220 is a gapful number since it is divisible by the number (10) 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 19932220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27191052).

19932220 is an abundant number, since it is smaller than the sum of its proper divisors (34449884).

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

19932220 is a wasteful number, since it uses less digits than its factorization.

19932220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 19932220 is about 4464.5514892316. The cubic root of 19932220 is about 271.1347758962.

It can be divided in two parts, 19 and 932220, that added together give a palindrome (932239).

The spelling of 19932220 in words is "nineteen million, nine hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 49 55 70 77 86 98 110 140 154 172 196 215 220 245 301 308 385 430 473 490 539 602 770 860 946 980 1078 1204 1505 1540 1849 1892 2107 2156 2365 2695 3010 3311 3698 4214 4730 5390 6020 6622 7396 8428 9245 9460 10535 10780 12943 13244 16555 18490 20339 21070 23177 25886 33110 36980 40678 42140 46354 51772 64715 66220 81356 90601 92708 101695 115885 129430 142373 181202 203390 231770 258860 284746 362404 406780 453005 463540 569492 711865 906010 996611 1423730 1812020 1993222 2847460 3986444 4983055 9966110 19932220