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2304204100 = 22521119412689
BaseRepresentation
bin1000100101010111…
…0101110101000100
312221120202200210121
42021111311311010
514204334012400
61020351031324
7111046261132
oct21125656504
95846680717
102304204100
11a82732710
1254380b544
132a94b78a3
1417c044752
15d745221a
hex89575d44

2304204100 has 144 divisors (see below), whose sum is σ = 5883998400. Its totient is φ = 774144000.

The previous prime is 2304204079. The next prime is 2304204151. The reversal of 2304204100 is 14024032.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855556 + ... + 858244.

It is an arithmetic number, because the mean of its divisors is an integer number (40861100).

Almost surely, 22304204100 is an apocalyptic number.

2304204100 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 2304204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941999200).

2304204100 is an abundant number, since it is smaller than the sum of its proper divisors (3579794300).

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

2304204100 is a wasteful number, since it uses less digits than its factorization.

2304204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2304204100 is about 48002.1259945849. The cubic root of 2304204100 is about 1320.8098986002.

Adding to 2304204100 its reverse (14024032), we get a palindrome (2318228132).

The spelling of 2304204100 in words is "two billion, three hundred four million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 41 44 50 55 76 82 95 100 110 164 190 205 209 220 275 380 410 418 451 475 550 779 820 836 902 950 1025 1045 1100 1558 1804 1900 2050 2090 2255 2689 3116 3895 4100 4180 4510 5225 5378 7790 8569 9020 10450 10756 11275 13445 15580 17138 19475 20900 22550 26890 29579 34276 38950 42845 45100 51091 53780 59158 67225 77900 85690 102182 110249 118316 134450 147895 171380 204364 214225 220498 255455 268900 295790 428450 440996 510910 551245 562001 591580 739475 856900 1021820 1102490 1124002 1212739 1277275 1478950 2094731 2204980 2248004 2425478 2554550 2756225 2810005 2957900 4189462 4850956 5109100 5512450 5620010 6063695 8378924 10473655 11024900 11240020 12127390 14050025 20947310 23042041 24254780 28100050 30318475 41894620 46084082 52368275 56200100 60636950 92168164 104736550 115210205 121273900 209473100 230420410 460840820 576051025 1152102050 2304204100