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20003220 = 22335172179
BaseRepresentation
bin100110001001…
…1100110010100
31101122021021000
41030103212110
520110100340
61552423300
7332011266
oct114234624
941567230
1020003220
1110322796
126847b30
1341b4a33
142929b36
151b51d30
hex1313994

20003220 has 96 divisors (see below), whose sum is σ = 65923200. Its totient is φ = 5018112.

The previous prime is 20003201. The next prime is 20003227. The reversal of 20003220 is 2230002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20003227) 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 31 ways as a sum of consecutive naturals, for example, 8091 + ... + 10269.

It is an arithmetic number, because the mean of its divisors is an integer number (686700).

Almost surely, 220003220 is an apocalyptic number.

20003220 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 20003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32961600).

20003220 is an abundant number, since it is smaller than the sum of its proper divisors (45919980).

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

20003220 is a wasteful number, since it uses less digits than its factorization.

20003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2206 counting only the distinct ones).

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

The square root of 20003220 is about 4472.4959474548. The cubic root of 20003220 is about 271.4563282523.

Adding to 20003220 its reverse (2230002), we get a palindrome (22233222).

The spelling of 20003220 in words is "twenty million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2179 2295 3060 4358 4590 6537 8716 9180 10895 13074 19611 21790 26148 32685 37043 39222 43580 58833 65370 74086 78444 98055 111129 117666 130740 148172 185215 196110 222258 235332 294165 333387 370430 392220 444516 555645 588330 666774 740860 1000161 1111290 1176660 1333548 1666935 2000322 2222580 3333870 4000644 5000805 6667740 10001610 20003220