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2195986464 = 25347127953
BaseRepresentation
bin1000001011100100…
…0001100000100000
312200001010200010000
42002321001200200
513444133031324
61001523340000
7105263401620
oct20271014040
95601120100
102195986464
11a27639151
12513521600
1328cc57899
1416b914880
15ccbc79c9
hex82e41820

2195986464 has 240 divisors, whose sum is σ = 7446878208. Its totient is φ = 621831168.

The previous prime is 2195986421. The next prime is 2195986469. The reversal of 2195986464 is 4646895912.

2195986464 is a `hidden beast` number, since 2 + 1 + 9 + 598 + 6 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2195986464.

It is not an unprimeable number, because it can be changed into a prime (2195986469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2303812 + ... + 2304764.

Almost surely, 22195986464 is an apocalyptic number.

2195986464 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 2195986464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723439104).

2195986464 is an abundant number, since it is smaller than the sum of its proper divisors (5250891744).

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

2195986464 is a wasteful number, since it uses less digits than its factorization.

2195986464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1092 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2195986464 is about 46861.3536296168. The cubic root of 2195986464 is about 1299.8000607698.

The spelling of 2195986464 in words is "two billion, one hundred ninety-five million, nine hundred eighty-six thousand, four hundred sixty-four".