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2196148464 = 24351075279
BaseRepresentation
bin1000001011100110…
…1001000011110000
312200001102220100000
42002321221003300
513444203222324
61001531030000
7105264645126
oct20271510360
95601386300
102196148464
11a27739934
1251359b300
1328ccb3543
1416b957916
15ccc0a9c9
hex82e690f0

2196148464 has 120 divisors (see below), whose sum is σ = 6434588160. Its totient is φ = 725070528.

The previous prime is 2196148463. The next prime is 2196148481. The reversal of 2196148464 is 4648416912.

2196148464 is a `hidden beast` number, since 21 + 9 + 614 + 8 + 4 + 6 + 4 = 666.

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 (2196148463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413377 + ... + 418655.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 22196148464 is an apocalyptic number.

2196148464 is a gapful number since it is divisible by the number (24) 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 2196148464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

2196148464 is an abundant number, since it is smaller than the sum of its proper divisors (4238439696).

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

2196148464 is a wasteful number, since it uses less digits than its factorization.

2196148464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5391 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2196148464 is about 46863.0821009459. The cubic root of 2196148464 is about 1299.8320224774.

The spelling of 2196148464 in words is "two billion, one hundred ninety-six million, one hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 243 321 324 428 432 486 642 648 856 963 972 1284 1296 1712 1926 1944 2568 2889 3852 3888 5136 5279 5778 7704 8667 10558 11556 15408 15837 17334 21116 23112 26001 31674 34668 42232 46224 47511 52002 63348 69336 84464 95022 104004 126696 138672 142533 190044 208008 253392 285066 380088 416016 427599 564853 570132 760176 855198 1129706 1140264 1282797 1694559 1710396 2259412 2280528 2565594 3389118 3420792 4518824 5083677 5131188 6778236 6841584 9037648 10167354 10262376 13556472 15251031 20334708 20524752 27112944 30502062 40669416 45753093 61004124 81338832 91506186 122008248 137259279 183012372 244016496 274518558 366024744 549037116 732049488 1098074232 2196148464