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2191642404 = 22374294361
BaseRepresentation
bin1000001010100001…
…1100111100100100
312122201221222011220
42002220130330210
513442030024104
61001250300340
7105211440000
oct20250347444
95581858156
102191642404
11a25141416
12511b876b0
1328c096533
1416b103700
15cc61a7d9
hex82a1cf24

2191642404 has 240 divisors, whose sum is σ = 6418547520. Its totient is φ = 580849920.

The previous prime is 2191642367. The next prime is 2191642421. The reversal of 2191642404 is 4042461912.

It is a super-3 number, since 3×21916424043 (a number of 29 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 35928534 + ... + 35928594.

It is an arithmetic number, because the mean of its divisors is an integer number (26743948).

Almost surely, 22191642404 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 2191642404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209273760).

2191642404 is an abundant number, since it is smaller than the sum of its proper divisors (4226905116).

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

2191642404 is a wasteful number, since it uses less digits than its factorization.

2191642404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2191642404 is about 46814.9805511014. The cubic root of 2191642404 is about 1298.9424148098.

The spelling of 2191642404 in words is "two billion, one hundred ninety-one million, six hundred forty-two thousand, four hundred four".