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20304224000 = 2853683929
BaseRepresentation
bin10010111010001110…
…011101111100000000
31221102000222110010022
4102322032131330000
5313040340132000
613154433553012
71316105025224
oct227216357400
957360873108
1020304224000
11867a229015
123b27a15768
131bb7724238
14da8878784
157dc811585
hex4ba39df00

20304224000 has 144 divisors (see below), whose sum is σ = 50708941920. Its totient is φ = 8101068800.

The previous prime is 20304223999. The next prime is 20304224029. The reversal of 20304224000 is 42240302.

It is a self number, because there is not a number n which added to its sum of digits gives 20304224000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21855536 + ... + 21856464.

It is an arithmetic number, because the mean of its divisors is an integer number (352145430).

Almost surely, 220304224000 is an apocalyptic number.

20304224000 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 20304224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25354470960).

20304224000 is an abundant number, since it is smaller than the sum of its proper divisors (30404717920).

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

20304224000 is an frugal number, since it uses more digits than its factorization.

20304224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 20304224000 its reverse (42240302), we get a palindrome (20346464302).

The spelling of 20304224000 in words is "twenty billion, three hundred four million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 683 800 929 1000 1280 1366 1600 1858 2000 2732 3200 3415 3716 4000 4645 5464 6400 6830 7432 8000 9290 10928 13660 14864 16000 17075 18580 21856 23225 27320 29728 32000 34150 37160 43712 46450 54640 59456 68300 74320 85375 87424 92900 109280 116125 118912 136600 148640 170750 174848 185800 218560 232250 237824 273200 297280 341500 371600 437120 464500 546400 594560 634507 683000 743200 874240 929000 1092800 1189120 1269014 1366000 1486400 1858000 2185600 2538028 2732000 2972800 3172535 3716000 4371200 5076056 5464000 5945600 6345070 7432000 10152112 10928000 12690140 14864000 15862675 20304224 21856000 25380280 29728000 31725350 40608448 50760560 63450700 79313375 81216896 101521120 126901400 158626750 162433792 203042240 253802800 317253500 406084480 507605600 634507000 812168960 1015211200 1269014000 2030422400 2538028000 4060844800 5076056000 10152112000 20304224000