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2195370240 = 28357235367
BaseRepresentation
bin1000001011011010…
…1011000100000000
312122222222100210220
42002312223010000
513444003321430
61001502223040
7105255224220
oct20266530400
95588870726
102195370240
11a27258178
12513284a80
1328caa025b
1416b7d4080
15ccb05110
hex82dab100

2195370240 has 576 divisors, whose sum is σ = 8646414336. Its totient is φ = 463896576.

The previous prime is 2195370223. The next prime is 2195370241. The reversal of 2195370240 is 420735912.

It is not an unprimeable number, because it can be changed into a prime (2195370241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32766687 + ... + 32766753.

It is an arithmetic number, because the mean of its divisors is an integer number (15011136).

Almost surely, 22195370240 is an apocalyptic number.

2195370240 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 2195370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323207168).

2195370240 is an abundant number, since it is smaller than the sum of its proper divisors (6451044096).

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

2195370240 is a wasteful number, since it uses less digits than its factorization.

2195370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2195370240 is about 46854.7781981731. The cubic root of 2195370240 is about 1299.6784688052.

The spelling of 2195370240 in words is "two billion, one hundred ninety-five million, three hundred seventy thousand, two hundred forty".