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2269112976 = 243213293241
BaseRepresentation
bin1000011100111111…
…1110101010010000
312212010201212211100
42013033332222100
514121343103401
61013054544400
7110142066504
oct20717765220
95763655740
102269112976
11a64945189
12533b08100
132a214c500
1417750c304
15d431eb86
hex873fea90

2269112976 has 90 divisors (see below), whose sum is σ = 6876504258. Its totient is φ = 698181120.

The previous prime is 2269112959. The next prime is 2269112987. The reversal of 2269112976 is 6792119622.

It can be written as a sum of positive squares in 3 ways, for example, as 48441600 + 2220671376 = 6960^2 + 47124^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22285 + ... + 70956.

Almost surely, 22269112976 is an apocalyptic number.

2269112976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2269112976 is an abundant number, since it is smaller than the sum of its proper divisors (4607391282).

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

2269112976 is a wasteful number, since it uses less digits than its factorization.

2269112976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93281 (or 93259 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 2269112976 is about 47635.2073155980. The cubic root of 2269112976 is about 1314.0706230329.

The spelling of 2269112976 in words is "two billion, two hundred sixty-nine million, one hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 93241 186482 279723 372964 559446 745928 839169 1118892 1212133 1491856 1678338 2237784 2424266 3356676 3636399 4475568 4848532 6713352 7272798 9697064 10909197 13426704 14545596 15757729 19394128 21818394 29091192 31515458 43636788 47273187 58182384 63030916 87273576 94546374 126061832 141819561 174547152 189092748 252123664 283639122 378185496 567278244 756370992 1134556488 2269112976