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20246208300 = 223252107210241
BaseRepresentation
bin10010110110110001…
…001001111100101100
31221020222210221112200
4102312301021330230
5312431012131200
613145002301500
71314501634233
oct226661117454
957228727480
1020246208300
11864a502a5a
123b104b7890
131ba86c0516
14da0c95b1a
157d76a1800
hex4b6c49f2c

20246208300 has 108 divisors (see below), whose sum is σ = 64054009656. Its totient is φ = 5348505600.

The previous prime is 20246208299. The next prime is 20246208329. The reversal of 20246208300 is 380264202.

20246208300 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 620 + 8 + 30 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8821 + ... + 201420.

It is an arithmetic number, because the mean of its divisors is an integer number (593092682).

Almost surely, 220246208300 is an apocalyptic number.

20246208300 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 20246208300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32027004828).

20246208300 is an abundant number, since it is smaller than the sum of its proper divisors (43807801356).

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

20246208300 is a wasteful number, since it uses less digits than its factorization.

20246208300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210368 (or 210358 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20246208300 in words is "twenty billion, two hundred forty-six million, two hundred eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 1070 1284 1605 1926 2140 2675 3210 3852 4815 5350 6420 8025 9630 10700 16050 19260 24075 32100 48150 96300 210241 420482 630723 840964 1051205 1261446 1892169 2102410 2522892 3153615 3784338 4204820 5256025 6307230 7568676 9460845 10512050 12614460 15768075 18921690 21024100 22495787 31536150 37843380 44991574 47304225 63072300 67487361 89983148 94608450 112478935 134974722 189216900 202462083 224957870 269949444 337436805 404924166 449915740 562394675 674873610 809848332 1012310415 1124789350 1349747220 1687184025 2024620830 2249578700 3374368050 4049241660 5061552075 6748736100 10123104150 20246208300