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2195339328 = 263371323607
BaseRepresentation
bin1000001011011010…
…0011100001000000
312122222220210102000
42002312203201000
513444001324303
61001501424000
7105255035130
oct20266434100
95588823360
102195339328
11a27236a26
1251326b000
1328ca8c170
1416b7c6ac0
15ccaeada3
hex82da3840

2195339328 has 448 divisors, whose sum is σ = 8302264320. Its totient is φ = 552904704.

The previous prime is 2195339303. The next prime is 2195339339. The reversal of 2195339328 is 8239335912.

2195339328 is a `hidden beast` number, since 2 + 1 + 9 + 533 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 3616401 + ... + 3617007.

It is an arithmetic number, because the mean of its divisors is an integer number (18531840).

Almost surely, 22195339328 is an apocalyptic number.

2195339328 is a gapful number since it is divisible by the number (28) 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 2195339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151132160).

2195339328 is an abundant number, since it is smaller than the sum of its proper divisors (6106924992).

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

2195339328 is a wasteful number, since it uses less digits than its factorization.

2195339328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2195339328 is about 46854.4483267064. The cubic root of 2195339328 is about 1299.6723687180.

The spelling of 2195339328 in words is "two billion, one hundred ninety-five million, three hundred thirty-nine thousand, three hundred twenty-eight".