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2223324432 = 243272315097
BaseRepresentation
bin1000010010000101…
…0011110100010000
312201221120120202100
42010201103310100
514023132340212
61004341320400
7106044642300
oct20441236420
95657516670
102223324432
11a4101060a
12520706100
13295809cb4
141713cd600
15d02c7bdc
hex84853d10

2223324432 has 90 divisors (see below), whose sum is σ = 7238116158. Its totient is φ = 635233536.

The previous prime is 2223324421. The next prime is 2223324451. The reversal of 2223324432 is 2344233222.

It is a happy number.

2223324432 is a `hidden beast` number, since 2 + 223 + 3 + 2 + 4 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1878702336 + 344622096 = 43344^2 + 18564^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2223324396 and 2223324405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150493 + ... + 164604.

Almost surely, 22223324432 is an apocalyptic number.

It is an amenable number.

2223324432 is an abundant number, since it is smaller than the sum of its proper divisors (5014791726).

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

2223324432 is a wasteful number, since it uses less digits than its factorization.

2223324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315125 (or 315109 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 2223324432 is about 47152.1413299545. The cubic root of 2223324432 is about 1305.1715949988.

Adding to 2223324432 its reverse (2344233222), we get a palindrome (4567557654).

It can be divided in two parts, 22233 and 24432, that added together give a triangular number (46665 = T305).

The spelling of 2223324432 in words is "two billion, two hundred twenty-three million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 315097 630194 945291 1260388 1890582 2205679 2520776 2835873 3781164 4411358 5041552 5671746 6617037 7562328 8822716 11343492 13234074 15124656 15439753 17645432 19851111 22686984 26468148 30879506 35290864 39702222 45373968 46319259 52936296 61759012 79404444 92638518 105872592 123518024 138957777 158808888 185277036 247036048 277915554 317617776 370554072 555831108 741108144 1111662216 2223324432