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20220340 = 2257247439
BaseRepresentation
bin100110100100…
…0100110110100
31102001022002111
41031020212310
520134022330
62001220404
7333604300
oct115104664
942038074
1020220340
1110460928
126931704
13425c7ca
142984d00
151b9632a
hex13489b4

20220340 has 72 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 6769728.

The previous prime is 20220331. The next prime is 20220349. The reversal of 20220340 is 4302202.

20220340 = T904 + T905 + ... + T950.

It is an interprime number because it is at equal distance from previous prime (20220331) and next prime (20220349).

It is a self number, because there is not a number n which added to its sum of digits gives 20220340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45841 + ... + 46279.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 220220340 is an apocalyptic number.

20220340 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 20220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

20220340 is an abundant number, since it is smaller than the sum of its proper divisors (30340940).

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

20220340 is a wasteful number, since it uses less digits than its factorization.

20220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20220340 is about 4496.7032368169. The cubic root of 20220340 is about 272.4349478587.

Adding to 20220340 its reverse (4302202), we get a palindrome (24522542).

The spelling of 20220340 in words is "twenty million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 439 470 490 658 878 940 980 1316 1645 1756 2195 2303 3073 3290 4390 4606 6146 6580 8780 9212 11515 12292 15365 20633 21511 23030 30730 41266 43022 46060 61460 82532 86044 103165 107555 144431 206330 215110 288862 412660 430220 577724 722155 1011017 1444310 2022034 2888620 4044068 5055085 10110170 20220340