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1130304224 = 25719265579
BaseRepresentation
bin100001101011111…
…0001001011100000
32220202212101220102
41003113301023200
54303324213344
6304054201532
740003266410
oct10327611340
92822771812
101130304224
11530033325
122766532a8
1315023128a
14aa18a640
156936ee4e
hex435f12e0

1130304224 has 48 divisors (see below), whose sum is σ = 2677046400. Its totient is φ = 458918784.

The previous prime is 1130304223. The next prime is 1130304229. The reversal of 1130304224 is 4224030311.

It is a junction number, because it is equal to n+sod(n) for n = 1130304196 and 1130304205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130304223) 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, 128534 + ... + 137045.

It is an arithmetic number, because the mean of its divisors is an integer number (55771800).

Almost surely, 21130304224 is an apocalyptic number.

1130304224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1130304224 is an abundant number, since it is smaller than the sum of its proper divisors (1546742176).

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

1130304224 is a wasteful number, since it uses less digits than its factorization.

1130304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265615 (or 265607 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1130304224 is about 33619.9973825103. The cubic root of 1130304224 is about 1041.6739020070.

Adding to 1130304224 its reverse (4224030311), we get a palindrome (5354334535).

The spelling of 1130304224 in words is "one billion, one hundred thirty million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 265579 531158 1062316 1859053 2124632 3718106 4249264 5046001 7436212 8498528 10092002 14872424 20184004 29744848 35322007 40368008 59489696 70644014 80736016 141288028 161472032 282576056 565152112 1130304224