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2195280000 = 2732543049
BaseRepresentation
bin1000001011011001…
…0101000010000000
312122222210210000200
42002312111002000
513443442430000
61001500245200
7105254400144
oct20266250200
95588723020
102195280000
11a271a63a1
12513240800
1328ca6b164
1416b7ad224
15ccad8500
hex82d95080

2195280000 has 240 divisors, whose sum is σ = 7896495750. Its totient is φ = 585216000.

The previous prime is 2195279987. The next prime is 2195280001. The reversal of 2195280000 is 825912.

It can be written as a sum of positive squares in 5 ways, for example, as 29680704 + 2165599296 = 5448^2 + 46536^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2195280001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 718476 + ... + 721524.

Almost surely, 22195280000 is an apocalyptic number.

2195280000 is a gapful number since it is divisible by the number (20) 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 2195280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948247875).

2195280000 is an abundant number, since it is smaller than the sum of its proper divisors (5701215750).

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

2195280000 is an equidigital number, since it uses as much as digits as its factorization.

2195280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2195280000 is about 46853.8152128511. The cubic root of 2195280000 is about 1299.6606609369.

The spelling of 2195280000 in words is "two billion, one hundred ninety-five million, two hundred eighty thousand".