Search a number
-
+
2196791136 = 2532171273533
BaseRepresentation
bin1000001011110000…
…0101111101100000
312200002122112220200
42002330011331200
513444334304021
61001552505200
7105303262611
oct20274057540
95602575820
102196791136
11a28038771
1251384b200
13290179c17
1416ba83c08
15cccd6126
hex82f05f60

2196791136 has 144 divisors (see below), whose sum is σ = 6668573184. Its totient is φ = 683569152.

The previous prime is 2196791087. The next prime is 2196791147. The reversal of 2196791136 is 6311976912.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2196791091 and 2196791100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620026 + ... + 623558.

It is an arithmetic number, because the mean of its divisors is an integer number (46309536).

Almost surely, 22196791136 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 2196791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334286592).

2196791136 is an abundant number, since it is smaller than the sum of its proper divisors (4471782048).

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

2196791136 is a wasteful number, since it uses less digits than its factorization.

2196791136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3682 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 2196791136 is about 46869.9385107341. The cubic root of 2196791136 is about 1299.9588026392.

The spelling of 2196791136 in words is "two billion, one hundred ninety-six million, seven hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 127 136 144 153 204 254 272 288 306 381 408 508 544 612 762 816 1016 1143 1224 1524 1632 2032 2159 2286 2448 3048 3533 4064 4318 4572 4896 6096 6477 7066 8636 9144 10599 12192 12954 14132 17272 18288 19431 21198 25908 28264 31797 34544 36576 38862 42396 51816 56528 60061 63594 69088 77724 84792 103632 113056 120122 127188 155448 169584 180183 207264 240244 254376 310896 339168 360366 448691 480488 508752 540549 621792 720732 897382 960976 1017504 1081098 1346073 1441464 1794764 1921952 2162196 2692146 2882928 3589528 4038219 4324392 5384292 5765856 7179056 7627747 8076438 8648784 10768584 14358112 15255494 16152876 17297568 21537168 22883241 30510988 32305752 43074336 45766482 61021976 64611504 68649723 91532964 122043952 129223008 137299446 183065928 244087904 274598892 366131856 549197784 732263712 1098395568 2196791136