Search a number
-
+
2222422040016 = 2436190536869
BaseRepresentation
bin100000010101110010101…
…011010001110111010000
321212110110102011012000000
4200111302223101313100
5242403010020240031
64420544441130000
7316364455436103
oct40256253216720
97773412135000
102222422040016
11787584337572
122ba878789900
1313175bc92939
14797cc7b273a
153cc24b493e6
hex20572ad1dd0

2222422040016 has 70 divisors (see below), whose sum is σ = 6455960766210. Its totient is φ = 740807342784.

The previous prime is 2222422039949. The next prime is 2222422040053. The reversal of 2222422040016 is 6100402242222.

2222422040016 is a `hidden beast` number, since 2 + 2 + 2 + 24 + 220 + 400 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1746901463616 + 475520576400 = 1321704^2 + 689580^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 95256771 + ... + 95280098.

Almost surely, 22222422040016 is an apocalyptic number.

It is an amenable number.

2222422040016 is an abundant number, since it is smaller than the sum of its proper divisors (4233538726194).

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

2222422040016 is an equidigital number, since it uses as much as digits as its factorization.

2222422040016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190536895 (or 190536874 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2222422040016 its reverse (6100402242222), we get a palindrome (8322824282238).

The spelling of 2222422040016 in words is "two trillion, two hundred twenty-two billion, four hundred twenty-two million, forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 190536869 381073738 571610607 762147476 1143221214 1524294952 1714831821 2286442428 3048589904 3429663642 4572884856 5144495463 6859327284 9145769712 10288990926 13718654568 15433486389 20577981852 27437309136 30866972778 41155963704 46300459167 61733945556 82311927408 92600918334 123467891112 138901377501 185201836668 246935782224 277802755002 370403673336 555605510004 740807346672 1111211020008 2222422040016