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2195663040 = 263253124593
BaseRepresentation
bin1000001011011111…
…0010100011000000
312200000112020110100
42002313302203000
513444042204130
61001512402400
7105260553654
oct20267624300
95600466410
102195663040
11a2743815a
125133a6400
1328cb735cc
1416b86ca64
15ccb61c60
hex82df28c0

2195663040 has 168 divisors, whose sum is σ = 7796101248. Its totient is φ = 566599680.

The previous prime is 2195663039. The next prime is 2195663131. The reversal of 2195663040 is 403665912.

It is a happy number.

2195663040 is a `hidden beast` number, since 2 + 19 + 5 + 6 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2195662986 and 2195663004.

It is an unprimeable number.

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, 76984 + ... + 101576.

Almost surely, 22195663040 is an apocalyptic number.

2195663040 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 2195663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898050624).

2195663040 is an abundant number, since it is smaller than the sum of its proper divisors (5600438208).

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

2195663040 is a wasteful number, since it uses less digits than its factorization.

2195663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24647 (or 24634 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2195663040 is about 46857.9026419237. The cubic root of 2195663040 is about 1299.7362462941.

The spelling of 2195663040 in words is "two billion, one hundred ninety-five million, six hundred sixty-three thousand, forty".