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22413202141304 = 23135919511872239
BaseRepresentation
bin1010001100010011110101…
…11100111011000001111000
32221100200101121000222211002
411012021322330323001320
510414204214222010204
6115400252151024132
74502205020541602
oct506117274730170
987320347028732
1022413202141304
1171614273303a7
12261b9b406b048
13c6772c3b1c70
14576b3a418172
1528d0437dc91e
hex14627af3b078

22413202141304 has 64 divisors (see below), whose sum is σ = 46048117248000. Its totient is φ = 10164005654400.

The previous prime is 22413202141303. The next prime is 22413202141331. The reversal of 22413202141304 is 40314120231422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413202141303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11035217 + ... + 12907455.

It is an arithmetic number, because the mean of its divisors is an integer number (719501832000).

Almost surely, 222413202141304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22413202141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024058624000).

22413202141304 is an abundant number, since it is smaller than the sum of its proper divisors (23634915106696).

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

22413202141304 is a wasteful number, since it uses less digits than its factorization.

22413202141304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874268 (or 1874264 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 22413202141304 its reverse (40314120231422), we get a palindrome (62727322372726).

The spelling of 22413202141304 in words is "twenty-two trillion, four hundred thirteen billion, two hundred two million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 767 1534 1951 3068 3902 6136 7804 15608 25363 50726 101452 115109 202904 230218 460436 920872 1496417 1872239 2992834 3744478 5985668 7488956 11971336 14977912 24339107 48678214 97356428 110462101 194712856 220924202 441848404 883696808 1436007313 2872014626 3652738289 5744029252 7305476578 11488058504 14610953156 29221906312 47485597757 94971195514 189942391028 215511559051 379884782056 431023118102 862046236204 1724092472408 2801650267663 5603300535326 11206601070652 22413202141304