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2195671968 = 25337331239
BaseRepresentation
bin1000001011011111…
…0100101110100000
312200000112200201000
42002313310232200
513444043000333
61001512512000
7105260622000
oct20267645640
95600480630
102195671968
11a27443936
125133ab600
1328cb776a9
1416b872000
15ccb64713
hex82df4ba0

2195671968 has 384 divisors, whose sum is σ = 7741440000. Its totient is φ = 604558080.

The previous prime is 2195671913. The next prime is 2195671987. The reversal of 2195671968 is 8691765912.

2195671968 is a `hidden beast` number, since 2 + 1 + 9 + 567 + 19 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9186793 + ... + 9187031.

It is an arithmetic number, because the mean of its divisors is an integer number (20160000).

Almost surely, 22195671968 is an apocalyptic number.

2195671968 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 2195671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720000).

2195671968 is an abundant number, since it is smaller than the sum of its proper divisors (5545768032).

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

2195671968 is a wasteful number, since it uses less digits than its factorization.

2195671968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 282 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 2195671968 is about 46857.9979085748. The cubic root of 2195671968 is about 1299.7380079532.

The spelling of 2195671968 in words is "two billion, one hundred ninety-five million, six hundred seventy-one thousand, nine hundred sixty-eight".