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200224324230440 = 23517294447535633
BaseRepresentation
bin101101100001101001011011…
…101110001001110100101000
3222020221020222102020200022112
4231201221123232021310220
5202220433404000333230
61545501441300141452
760113505256650326
oct5541513356116450
9866836872220275
10200224324230440
1158885728210934
121a558995097888
1387950c3b0a003
143762ca2420d16
151823462becd95
hexb61a5bb89d28

200224324230440 has 32 divisors (see below), whose sum is σ = 477005007727080. Its totient is φ = 75378569121792.

The previous prime is 200224324230433. The next prime is 200224324230443. The reversal of 200224324230440 is 44032423422002.

200224324230440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 187759766882116 + 12464557348324 = 13702546^2 + 3530518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200224324230397 and 200224324230406.

It is not an unprimeable number, because it can be changed into a prime (200224324230443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147223767137 + ... + 147223768496.

Almost surely, 2200224324230440 is an apocalyptic number.

200224324230440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200224324230440 is an abundant number, since it is smaller than the sum of its proper divisors (276780683496640).

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

200224324230440 is a wasteful number, since it uses less digits than its factorization.

200224324230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294447535661 (or 294447535657 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 200224324230440 its reverse (44032423422002), we get a palindrome (244256747652442).

The spelling of 200224324230440 in words is "two hundred trillion, two hundred twenty-four billion, three hundred twenty-four million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 294447535633 588895071266 1177790142532 1472237678165 2355580285064 2944475356330 5005608105761 5888950712660 10011216211522 11777901425320 20022432423044 25028040528805 40044864846088 50056081057610 100112162115220 200224324230440