Search a number
-
+
2226131366620 = 22572101221310163
BaseRepresentation
bin100000011001001111110…
…001001111001011011100
321212211000220220111111211
4200121033301033023130
5242433104112212440
64422400504554204
7316555416256300
oct40311761171334
97784026814454
102226131366620
11789108137547
122bb532a82964
13131c00600755
1479a6129dd00
153cd90603eea
hex2064fc4f2dc

2226131366620 has 144 divisors (see below), whose sum is σ = 5494986006048. Its totient is φ = 755272358400.

The previous prime is 2226131366609. The next prime is 2226131366621. The reversal of 2226131366620 is 266631316222.

2226131366620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22261313666202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226131366621) 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, 219037659 + ... + 219047821.

It is an arithmetic number, because the mean of its divisors is an integer number (38159625042).

Almost surely, 22226131366620 is an apocalyptic number.

2226131366620 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 2226131366620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747493003024).

2226131366620 is an abundant number, since it is smaller than the sum of its proper divisors (3268854639428).

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

2226131366620 is a wasteful number, since it uses less digits than its factorization.

2226131366620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 2226131366620 in words is "two trillion, two hundred twenty-six billion, one hundred thirty-one million, three hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2213 2828 3535 4426 4949 7070 8852 9898 10163 11065 14140 15491 19796 20326 22130 24745 30982 40652 44260 49490 50815 61964 71141 77455 98980 101630 108437 142282 154910 203260 216874 223513 284564 309820 355705 433748 447026 497987 542185 711410 894052 995974 1026463 1084370 1117565 1422820 1564591 1991948 2052926 2168740 2235130 2489935 3129182 4105852 4470260 4979870 5132315 6258364 7185241 7822955 9959740 10264630 10952137 14370482 15645910 20529260 21904274 22490719 28740964 31291820 35926205 43808548 44981438 50296687 54760685 71852410 89962876 100593374 109521370 112453595 143704820 157435033 201186748 219042740 224907190 251483435 314870066 449814380 502966870 629740132 787175165 1005933740 1102045231 1574350330 2204090462 2271562619 3148700660 4408180924 4543125238 5510226155 9086250476 11020452310 11357813095 15900938333 22040904620 22715626190 31801876666 45431252380 63603753332 79504691665 111306568331 159009383330 222613136662 318018766660 445226273324 556532841655 1113065683310 2226131366620