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2204200020 = 2235117514447
BaseRepresentation
bin1000001101100001…
…0110110001010100
312200121120221222210
42003120112301110
514003233400040
61002415353420
7105423251061
oct20330266124
95617527883
102204200020
11a31239110
12516222870
13291872289
1416ca51c68
15cd79b480
hex83616c54

2204200020 has 96 divisors (see below), whose sum is σ = 6743310336. Its totient is φ = 533520000.

The previous prime is 2204200003. The next prime is 2204200039. The reversal of 2204200020 is 200024022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2204199969 and 2204200005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493437 + ... + 497883.

It is an arithmetic number, because the mean of its divisors is an integer number (70242816).

Almost surely, 22204200020 is an apocalyptic number.

2204200020 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 2204200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371655168).

2204200020 is an abundant number, since it is smaller than the sum of its proper divisors (4539110316).

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

2204200020 is a wasteful number, since it uses less digits than its factorization.

2204200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2204200020 is about 46948.9086135131. The cubic root of 2204200020 is about 1301.4185737622.

Adding to 2204200020 its reverse (200024022), we get a palindrome (2404224042).

The spelling of 2204200020 in words is "two billion, two hundred four million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 751 1502 2253 3004 3755 4447 4506 7510 8261 8894 9012 11265 13341 15020 16522 17788 22235 22530 24783 26682 33044 41305 44470 45060 48917 49566 53364 66705 82610 88940 97834 99132 123915 133410 146751 165220 195668 244585 247830 266820 293502 489170 495660 587004 733755 978340 1467510 2935020 3339697 6679394 10019091 13358788 16698485 20038182 33396970 36736667 40076364 50095455 66793940 73473334 100190910 110210001 146946668 183683335 200381820 220420002 367366670 440840004 551050005 734733340 1102100010 2204200020