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2296530648 = 2332296591669
BaseRepresentation
bin1000100011100010…
…0100011011011000
312221001022211210200
42020320210123120
514200402440043
61015514342200
7110624121426
oct21070443330
95831284720
102296530648
11a79371515
1254112a960
132a7a2bc99
1417b008116
15d69387d3
hex88e246d8

2296530648 has 96 divisors (see below), whose sum is σ = 6447870000. Its totient is φ = 737549568.

The previous prime is 2296530637. The next prime is 2296530671. The reversal of 2296530648 is 8460356922.

2296530648 is a `hidden beast` number, since 22 + 96 + 530 + 6 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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, 1375158 + ... + 1376826.

Almost surely, 22296530648 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 2296530648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223935000).

2296530648 is an abundant number, since it is smaller than the sum of its proper divisors (4151339352).

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

2296530648 is a wasteful number, since it uses less digits than its factorization.

2296530648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2296530648 is about 47922.1310878387. The cubic root of 2296530648 is about 1319.3420826021.

The spelling of 2296530648 in words is "two billion, two hundred ninety-six million, five hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 659 696 1044 1318 1669 1977 2088 2636 3338 3954 5007 5272 5931 6676 7908 10014 11862 13352 15021 15816 19111 20028 23724 30042 38222 40056 47448 48401 57333 60084 76444 96802 114666 120168 145203 152888 171999 193604 229332 290406 343998 387208 435609 458664 580812 687996 871218 1099871 1161624 1375992 1742436 2199742 3299613 3484872 4399484 6599226 8798968 9898839 13198452 19797678 26396904 31896259 39595356 63792518 79190712 95688777 127585036 191377554 255170072 287066331 382755108 574132662 765510216 1148265324 2296530648