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2196074848 = 2511107199293
BaseRepresentation
bin1000001011100101…
…0111000101100000
312200001022011100111
42002321113011200
513444143343343
61001525301104
7105264220402
oct20271270540
95601264314
102196074848
11a276995a0
12513564794
1328cc88b96
1416b938b72
15ccbe3c9d
hex82e57160

2196074848 has 96 divisors (see below), whose sum is σ = 4800902400. Its totient is φ = 980559360.

The previous prime is 2196074831. The next prime is 2196074849. The reversal of 2196074848 is 8484706912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196074849) 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 15 ways as a sum of consecutive naturals, for example, 7494990 + ... + 7495282.

It is an arithmetic number, because the mean of its divisors is an integer number (50009400).

Almost surely, 22196074848 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 2196074848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400451200).

2196074848 is an abundant number, since it is smaller than the sum of its proper divisors (2604827552).

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

2196074848 is a wasteful number, since it uses less digits than its factorization.

2196074848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 2196074848 is about 46862.2966573342. The cubic root of 2196074848 is about 1299.8174986410.

The spelling of 2196074848 in words is "two billion, one hundred ninety-six million, seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 199 214 293 352 398 428 586 796 856 1172 1177 1592 1712 2189 2344 2354 3184 3223 3424 4378 4688 4708 6368 6446 8756 9376 9416 12892 17512 18832 21293 25784 31351 35024 37664 42586 51568 58307 62702 70048 85172 103136 116614 125404 170344 233228 234223 250808 340688 344861 466456 468446 501616 641377 681376 689722 932912 936892 1003232 1282754 1379444 1865824 1873784 2565508 2758888 3747568 5131016 5517776 6238849 7495136 10262032 11035552 12477698 20524064 24955396 49910792 68627339 99821584 137254678 199643168 274509356 549018712 1098037424 2196074848