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2000221300 = 2252711475527
BaseRepresentation
bin111011100111000…
…1111010001110100
312011101202202210101
41313032033101310
513044024040200
6530251403444
7100365412660
oct16716172164
95141682711
102000221300
11937088960
12479a53584
1325b523ccc
1414d9158a0
15ba90826a
hex7738f474

2000221300 has 144 divisors (see below), whose sum is σ = 5527646208. Its totient is φ = 610070400.

The previous prime is 2000221297. The next prime is 2000221319. The reversal of 2000221300 is 31220002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 359137 + ... + 364663.

It is an arithmetic number, because the mean of its divisors is an integer number (38386432).

Almost surely, 22000221300 is an apocalyptic number.

2000221300 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 2000221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763823104).

2000221300 is an abundant number, since it is smaller than the sum of its proper divisors (3527424908).

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

2000221300 is a wasteful number, since it uses less digits than its factorization.

2000221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2000221300 is about 44723.8336907739. The cubic root of 2000221300 is about 1259.9675182691.

Adding to 2000221300 its reverse (31220002), we get a palindrome (2031441302).

The spelling of 2000221300 in words is "two billion, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 47 50 55 70 77 94 100 110 140 154 175 188 220 235 275 308 329 350 385 470 517 550 658 700 770 940 1034 1100 1175 1316 1540 1645 1925 2068 2350 2585 3290 3619 3850 4700 5170 5527 6580 7238 7700 8225 10340 11054 12925 14476 16450 18095 22108 25850 27635 32900 36190 38689 51700 55270 60797 72380 77378 90475 110540 121594 138175 154756 180950 193445 243188 259769 276350 303985 361900 386890 425579 519538 552700 607970 773780 851158 967225 1039076 1215940 1298845 1519925 1702316 1818383 1934450 2127895 2597690 2857459 3039850 3636766 3868900 4255790 5195380 5714918 6079700 6494225 7273532 8511580 9091915 10639475 11429836 12988450 14287295 18183830 20002213 21278950 25976900 28574590 36367660 40004426 42557900 45459575 57149180 71436475 80008852 90919150 100011065 142872950 181838300 200022130 285745900 400044260 500055325 1000110650 2000221300