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2206502000 = 24534325657
BaseRepresentation
bin1000001110000100…
…1000110001110000
312200202220220201022
42003201020301300
514004331031000
61002540555012
7105451646303
oct20341106160
95622826638
102206502000
11a3257067a
12516b52a68
13292199cb1
1416d090b3a
15cdaa3585
hex83848c70

2206502000 has 80 divisors (see below), whose sum is σ = 5459611872. Its totient is φ = 862041600.

The previous prime is 2206501799. The next prime is 2206502009. The reversal of 2206502000 is 2056022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2206502000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206502009) 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 15 ways as a sum of consecutive naturals, for example, 73172 + ... + 98828.

Almost surely, 22206502000 is an apocalyptic number.

2206502000 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 2206502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729805936).

2206502000 is an abundant number, since it is smaller than the sum of its proper divisors (3253109872).

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

2206502000 is a wasteful number, since it uses less digits than its factorization.

2206502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25723 (or 25707 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2206502000 is about 46973.4180148731. The cubic root of 2206502000 is about 1301.8714662997.

Adding to 2206502000 its reverse (2056022), we get a palindrome (2208558022).

The spelling of 2206502000 in words is "two billion, two hundred six million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 25657 43000 51314 86000 102628 128285 205256 256570 410512 513140 641425 1026280 1103251 1282850 2052560 2206502 2565700 3207125 4413004 5131400 5516255 6414250 8826008 10262800 11032510 12828500 17652016 22065020 25657000 27581275 44130040 51314000 55162550 88260080 110325100 137906375 220650200 275812750 441300400 551625500 1103251000 2206502000