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2196163200 = 273527112971
BaseRepresentation
bin1000001011100110…
…1100101010000000
312200001110122112210
42002321230222000
513444204210300
61001531222120
7105265036110
oct20271545200
95601418483
102196163200
11a27749a10
125135a7940
1328ccba16a
1416b95d040
15ccc10050
hex82e6ca80

2196163200 has 384 divisors, whose sum is σ = 9021565440. Its totient is φ = 456192000.

The previous prime is 2196163181. The next prime is 2196163217. The reversal of 2196163200 is 23616912.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737715 + ... + 740685.

It is an arithmetic number, because the mean of its divisors is an integer number (23493660).

Almost surely, 22196163200 is an apocalyptic number.

2196163200 is a gapful number since it is divisible by the number (20) 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 2196163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510782720).

2196163200 is an abundant number, since it is smaller than the sum of its proper divisors (6825402240).

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

2196163200 is a wasteful number, since it uses less digits than its factorization.

2196163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2196163200 is about 46863.2393246562. The cubic root of 2196163200 is about 1299.8349297311.

The spelling of 2196163200 in words is "two billion, one hundred ninety-six million, one hundred sixty-three thousand, two hundred".