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11221232220 = 223251111350153
BaseRepresentation
bin10100111001101011…
…00110101001011100
31001222000201122210100
422130311212221130
5140440113412340
65053245541100
7545033620512
oct123465465134
931860648710
1011221232220
114839102940
122211b74790
13109aa06ba3
1478641c4b2
1545a1de830
hex29cd66a5c

11221232220 has 144 divisors (see below), whose sum is σ = 37461426912. Its totient is φ = 2696171520.

The previous prime is 11221232147. The next prime is 11221232257. The reversal of 11221232220 is 2223212211.

11221232220 is a `hidden beast` number, since 112 + 212 + 322 + 20 = 666.

It is a super-2 number, since 2×112212322202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11221232193 and 11221232202.

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, 198664 + ... + 248816.

It is an arithmetic number, because the mean of its divisors is an integer number (260148798).

Almost surely, 211221232220 is an apocalyptic number.

11221232220 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 11221232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18730713456).

11221232220 is an abundant number, since it is smaller than the sum of its proper divisors (26240194692).

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

11221232220 is a wasteful number, since it uses less digits than its factorization.

11221232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50292 (or 50287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11221232220 its reverse (2223212211), we get a palindrome (13444444431).

The spelling of 11221232220 in words is "eleven billion, two hundred twenty-one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 990 1017 1130 1243 1356 1695 1980 2034 2260 2486 3390 3729 4068 4972 5085 6215 6780 7458 10170 11187 12430 14916 18645 20340 22374 24860 37290 44748 50153 55935 74580 100306 111870 150459 200612 223740 250765 300918 451377 501530 551683 601836 752295 902754 1003060 1103366 1504590 1655049 1805508 2206732 2256885 2758415 3009180 3310098 4513770 4965147 5516830 5667289 6620196 8275245 9027540 9930294 11033660 11334578 16550490 17001867 19860588 22669156 24825735 28336445 33100980 34003734 49651470 51005601 56672890 62340179 68007468 85009335 99302940 102011202 113345780 124680358 170018670 187020537 204022404 249360716 255028005 311700895 340037340 374041074 510056010 561061611 623401790 748082148 935102685 1020112020 1122123222 1246803580 1870205370 2244246444 2805308055 3740410740 5610616110 11221232220