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2249504768 = 2117156913
BaseRepresentation
bin1000011000010100…
…1011100000000000
312210202211200102102
42012011023200000
514101333123033
61011114405532
7106513321640
oct20605134000
95722750372
102249504768
11a54872255
125294308a8
1329b075514
14174a86520
15d2749de8
hex8614b800

2249504768 has 48 divisors (see below), whose sum is σ = 5140502640. Its totient is φ = 964067328.

The previous prime is 2249504759. The next prime is 2249504779. The reversal of 2249504768 is 8674059422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64121 + ... + 92792.

It is an arithmetic number, because the mean of its divisors is an integer number (107093805).

Almost surely, 22249504768 is an apocalyptic number.

2249504768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2249504768 is an abundant number, since it is smaller than the sum of its proper divisors (2890997872).

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

2249504768 is an equidigital number, since it uses as much as digits as its factorization.

2249504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156942 (or 156922 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 2249504768 is about 47428.9444116143. The cubic root of 2249504768 is about 1310.2745511610.

The spelling of 2249504768 in words is "two billion, two hundred forty-nine million, five hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 156913 313826 627652 1098391 1255304 2196782 2510608 4393564 5021216 8787128 10042432 17574256 20084864 35148512 40169728 70297024 80339456 140594048 160678912 281188096 321357824 562376192 1124752384 2249504768