Search a number
-
+
2196242496 = 263271274289
BaseRepresentation
bin1000001011101000…
…0000000001000000
312200001121200022200
42002322000001000
513444214224441
61001533033200
7105265516230
oct20272000100
95601550280
102196242496
11a277a3548
12513625800
13290017296
1416b97dcc0
15ccc287b6
hex82e80040

2196242496 has 168 divisors, whose sum is σ = 7252776960. Its totient is φ = 622411776.

The previous prime is 2196242473. The next prime is 2196242497. The reversal of 2196242496 is 6942426912.

2196242496 is a `hidden beast` number, since 2 + 19 + 624 + 2 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×21962424962 = 9646962202472620032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196242497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509920 + ... + 514208.

Almost surely, 22196242496 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 2196242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626388480).

2196242496 is an abundant number, since it is smaller than the sum of its proper divisors (5056534464).

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

2196242496 is a wasteful number, since it uses less digits than its factorization.

2196242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4428 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2196242496 is about 46864.0853532852. The cubic root of 2196242496 is about 1299.8505737521.

The spelling of 2196242496 in words is "two billion, one hundred ninety-six million, two hundred forty-two thousand, four hundred ninety-six".