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2195880192 = 2835113209
BaseRepresentation
bin1000001011100010…
…0111100100000000
312200000221021100000
42002320213210000
513444121131232
61001521200000
7105262450032
oct20270474400
95600837300
102195880192
11a27576320
12513490000
1328cc1b3bc
1416b8c7c52
15ccba627c
hex82e27900

2195880192 has 216 divisors, whose sum is σ = 7164874080. Its totient is φ = 665210880.

The previous prime is 2195880139. The next prime is 2195880221. The reversal of 2195880192 is 2910885912.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682684 + ... + 685892.

Almost surely, 22195880192 is an apocalyptic number.

2195880192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582437040).

2195880192 is an abundant number, since it is smaller than the sum of its proper divisors (4968993888).

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

2195880192 is an equidigital number, since it uses as much as digits as its factorization.

2195880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 2195880192 is about 46860.2197177948. The cubic root of 2195880192 is about 1299.7790930357.

The spelling of 2195880192 in words is "two billion, one hundred ninety-five million, eight hundred eighty thousand, one hundred ninety-two".