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2224532232 = 2332132981953
BaseRepresentation
bin1000010010010111…
…1010101100001000
312202000211221112200
42010211322230020
514023440012412
61004423240200
7106061132466
oct20445725410
95660757480
102224532232
11a41765a9a
12520ba9060
13295b40980
14171625836
15d04659dc
hex8497ab08

2224532232 has 96 divisors (see below), whose sum is σ = 6712032600. Its totient is φ = 660860928.

The previous prime is 2224532227. The next prime is 2224532237. The reversal of 2224532232 is 2322354222.

It is an interprime number because it is at equal distance from previous prime (2224532227) and next prime (2224532237).

It can be written as a sum of positive squares in 4 ways, for example, as 1287804996 + 936727236 = 35886^2 + 30606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2224532196 and 2224532205.

It is not an unprimeable number, because it can be changed into a prime (2224532237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13833 + ... + 68120.

Almost surely, 22224532232 is an apocalyptic number.

It is an amenable number.

2224532232 is an abundant number, since it is smaller than the sum of its proper divisors (4487500368).

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

2224532232 is a wasteful number, since it uses less digits than its factorization.

2224532232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82007 (or 82000 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 2224532232 is about 47164.9470687713. The cubic root of 2224532232 is about 1305.4078929293.

Adding to 2224532232 its reverse (2322354222), we get a palindrome (4546886454).

The spelling of 2224532232 in words is "two billion, two hundred twenty-four million, five hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144 81953 163906 245859 327812 491718 655624 737577 983436 1065389 1475154 1966872 2130778 2376637 2950308 3196167 4261556 4753274 5900616 6392334 7129911 8523112 9506548 9588501 12784668 14259822 19013096 19177002 21389733 25569336 28519644 30896281 38354004 42779466 57039288 61792562 76708008 85558932 92688843 123585124 171117864 185377686 247170248 278066529 370755372 556133058 741510744 1112266116 2224532232