Search a number
-
+
2195234496 = 2632721331193
BaseRepresentation
bin1000001011011000…
…1001111011000000
312122222201110121100
42002312021323000
513443440000441
61001455254400
7105254120400
oct20266117300
95588643540
102195234496
11a27175194
1251321a400
1328ca53530
1416b79a800
15ccac9cb6
hex82d89ec0

2195234496 has 504 divisors, whose sum is σ = 8179027584. Its totient is φ = 557383680.

The previous prime is 2195234491. The next prime is 2195234549. The reversal of 2195234496 is 6944325912.

2195234496 is a `hidden beast` number, since 219 + 5 + 2 + 344 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2195234491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11374176 + ... + 11374368.

Almost surely, 22195234496 is an apocalyptic number.

2195234496 is a gapful number since it is divisible by the number (26) 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 2195234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089513792).

2195234496 is an abundant number, since it is smaller than the sum of its proper divisors (5983793088).

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

2195234496 is a wasteful number, since it uses less digits than its factorization.

2195234496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2195234496 is about 46853.3296148737. The cubic root of 2195234496 is about 1299.6516810395.

The spelling of 2195234496 in words is "two billion, one hundred ninety-five million, two hundred thirty-four thousand, four hundred ninety-six".