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19990221600 = 2535260113859
BaseRepresentation
bin10010100111100000…
…101001001100100000
31220121011010110210210
4102213200221030200
5311414444042400
613103335454120
71305243036306
oct224740511440
956534113723
1019990221600
118528a603a8
123a5a827340
131b67662bbb
14d78c9c276
157bee88950
hex4a7829320

19990221600 has 144 divisors (see below), whose sum is σ = 65181140640. Its totient is φ = 5321472000.

The previous prime is 19990221593. The next prime is 19990221631. The reversal of 19990221600 is 612209991.

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 23 ways as a sum of consecutive naturals, for example, 1435471 + ... + 1449329.

It is an arithmetic number, because the mean of its divisors is an integer number (452646810).

Almost surely, 219990221600 is an apocalyptic number.

19990221600 is a gapful number since it is divisible by the number (10) 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 19990221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32590570320).

19990221600 is an abundant number, since it is smaller than the sum of its proper divisors (45190919040).

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

19990221600 is a wasteful number, since it uses less digits than its factorization.

19990221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14470 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 19990221600 in words is "nineteen billion, nine hundred ninety million, two hundred twenty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 601 800 1200 1202 1803 2400 2404 3005 3606 4808 6010 7212 9015 9616 12020 13859 14424 15025 18030 19232 24040 27718 28848 30050 36060 41577 45075 48080 55436 57696 60100 69295 72120 83154 90150 96160 110872 120200 138590 144240 166308 180300 207885 221744 240400 277180 288480 332616 346475 360600 415770 443488 480800 554360 665232 692950 721200 831540 1039425 1108720 1330464 1385900 1442400 1663080 2078850 2217440 2771800 3326160 4157700 5543600 6652320 8315400 8329259 11087200 16630800 16658518 24987777 33261600 33317036 41646295 49975554 66634072 83292590 99951108 124938885 133268144 166585180 199902216 208231475 249877770 266536288 333170360 399804432 416462950 499755540 624694425 666340720 799608864 832925900 999511080 1249388850 1332681440 1665851800 1999022160 2498777700 3331703600 3998044320 4997555400 6663407200 9995110800 19990221600