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2199300096 = 2113751137
BaseRepresentation
bin1000001100010110…
…1010100000000000
312200021101000120010
42003011222200000
514001010100341
61002122344520
7105333512430
oct20305524000
95607330503
102199300096
11a294a1794
1251465b140
13290847c06
1416c1382c0
15cd12e716
hex8316a800

2199300096 has 96 divisors (see below), whose sum is σ = 6701123520. Its totient is φ = 628359168.

The previous prime is 2199300073. The next prime is 2199300097. The reversal of 2199300096 is 6900039912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2199300097) 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, 17440 + ... + 68576.

It is an arithmetic number, because the mean of its divisors is an integer number (69803370).

Almost surely, 22199300096 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 2199300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350561760).

2199300096 is an abundant number, since it is smaller than the sum of its proper divisors (4501823424).

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

2199300096 is an equidigital number, since it uses as much as digits as its factorization.

2199300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51169 (or 51149 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 2199300096 is about 46896.6960030235. The cubic root of 2199300096 is about 1300.4535096233.

The spelling of 2199300096 in words is "two billion, one hundred ninety-nine million, three hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 51137 102274 153411 204548 306822 357959 409096 613644 715918 818192 1073877 1227288 1431836 1636384 2147754 2454576 2863672 3272768 4295508 4909152 5727344 6545536 8591016 9818304 11454688 13091072 17182032 19636608 22909376 26182144 34364064 39273216 45818752 52364288 68728128 78546432 91637504 104728576 137456256 157092864 183275008 274912512 314185728 366550016 549825024 733100032 1099650048 2199300096