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2001110220 = 22325371132659
BaseRepresentation
bin111011101000110…
…1000010011001100
312011110102221011100
41313101220103030
513044241011340
6530322423100
7100406104404
oct16721502314
95143387140
102001110220
119376357aa
1247a201a90
1325b7757b5
1414daa7804
15baa31830
hex774684cc

2001110220 has 144 divisors (see below), whose sum is σ = 6291623520. Its totient is φ = 514418688.

The previous prime is 2001110219. The next prime is 2001110249. The reversal of 2001110220 is 220111002.

It is a super-2 number, since 2×20011102202 = 8008884225176896800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 751251 + ... + 753909.

It is an arithmetic number, because the mean of its divisors is an integer number (43691830).

Almost surely, 22001110220 is an apocalyptic number.

2001110220 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 2001110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145811760).

2001110220 is an abundant number, since it is smaller than the sum of its proper divisors (4290513300).

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

2001110220 is a wasteful number, since it uses less digits than its factorization.

2001110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001110220 is about 44733.7704648289. The cubic root of 2001110220 is about 1260.1541383616.

Adding to 2001110220 its reverse (220111002), we get a palindrome (2221221222).

The spelling of 2001110220 in words is "two billion, one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 113 148 180 185 222 226 333 339 370 444 452 555 565 666 678 740 1017 1110 1130 1332 1356 1665 1695 2034 2220 2260 2659 3330 3390 4068 4181 5085 5318 6660 6780 7977 8362 10170 10636 12543 13295 15954 16724 20340 20905 23931 25086 26590 31908 37629 39885 41810 47862 50172 53180 62715 75258 79770 83620 95724 98383 119655 125430 150516 159540 188145 196766 239310 250860 295149 300467 376290 393532 478620 491915 590298 600934 752580 885447 901401 983830 1180596 1201868 1475745 1502335 1770894 1802802 1967660 2704203 2951490 3004670 3541788 3605604 4427235 4507005 5408406 5902980 6009340 8854470 9014010 10816812 11117279 13521015 17708940 18028020 22234558 27042030 33351837 44469116 54084060 55586395 66703674 100055511 111172790 133407348 166759185 200111022 222345580 333518370 400222044 500277555 667036740 1000555110 2001110220