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2196993568 = 257114761311
BaseRepresentation
bin1000001011110011…
…0111011000100000
312200010000211121011
42002330313120200
513444412243233
61002001110304
7105305065030
oct20274673040
95603024534
102196993568
11a28166870
12513928394
1329021b0c3
1416bad78c0
15ccd260cd
hex82f37620

2196993568 has 192 divisors, whose sum is σ = 5615640576. Its totient is φ = 821376000.

The previous prime is 2196993523. The next prime is 2196993599. The reversal of 2196993568 is 8653996912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7064133 + ... + 7064443.

It is an arithmetic number, because the mean of its divisors is an integer number (29248128).

Almost surely, 22196993568 is an apocalyptic number.

2196993568 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 2196993568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807820288).

2196993568 is an abundant number, since it is smaller than the sum of its proper divisors (3418647008).

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

2196993568 is a wasteful number, since it uses less digits than its factorization.

2196993568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 58.

The square root of 2196993568 is about 46872.0979688343. The cubic root of 2196993568 is about 1299.9987313597.

The spelling of 2196993568 in words is "two billion, one hundred ninety-six million, nine hundred ninety-three thousand, five hundred sixty-eight".