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2244110220 = 22325116191831
BaseRepresentation
bin1000010111000010…
…0110011110001100
312210101200121111100
42011300212132030
514043443011340
61010403023100
7106416423252
oct20560463614
95711617440
102244110220
11a51818250
1252766aa90
13299c06c91
141740805d2
15d2031830
hex85c2678c

2244110220 has 144 divisors (see below), whose sum is σ = 7442023680. Its totient is φ = 542851200.

The previous prime is 2244110191. The next prime is 2244110221. The reversal of 2244110220 is 220114422.

2244110220 is a `hidden beast` number, since 2 + 2 + 441 + 1 + 0 + 220 = 666.

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 = 2244110193 and 2244110202.

It is not an unprimeable number, because it can be changed into a prime (2244110221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224705 + ... + 1226535.

It is an arithmetic number, because the mean of its divisors is an integer number (51680720).

Almost surely, 22244110220 is an apocalyptic number.

2244110220 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 2244110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721011840).

2244110220 is an abundant number, since it is smaller than the sum of its proper divisors (5197913460).

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

2244110220 is a wasteful number, since it uses less digits than its factorization.

2244110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2244110220 is about 47372.0404880347. The cubic root of 2244110220 is about 1309.2263209305.

Adding to 2244110220 its reverse (220114422), we get a palindrome (2464224642).

The spelling of 2244110220 in words is "two billion, two hundred forty-four million, one hundred ten 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 99 110 132 165 180 198 220 330 396 495 619 660 990 1238 1831 1857 1980 2476 3095 3662 3714 5493 5571 6190 6809 7324 7428 9155 9285 10986 11142 12380 13618 16479 18310 18570 20141 20427 21972 22284 27236 27465 27855 32958 34045 36620 37140 40282 40854 54930 55710 60423 61281 65916 68090 80564 81708 82395 100705 102135 109860 111420 120846 122562 136180 164790 181269 201410 204270 241692 245124 302115 306405 329580 362538 402820 408540 604230 612810 725076 906345 1133389 1208460 1225620 1812690 2266778 3400167 3625380 4533556 5666945 6800334 10200501 11333890 12467279 13600668 17000835 20401002 22667780 24934558 34001670 37401837 40802004 49869116 51002505 62336395 68003340 74803674 102005010 112205511 124672790 149607348 187009185 204010020 224411022 249345580 374018370 448822044 561027555 748036740 1122055110 2244110220