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2133015440 = 24526662693
BaseRepresentation
bin111111100100011…
…0011101110010000
312111122122102002212
41333020303232100
513332022443230
6551353531252
7103600221623
oct17710635620
95448572085
102133015440
119a5039086
124b6413b28
1327cbaa51a
14163401dba
15c73d9895
hex7f233b90

2133015440 has 20 divisors (see below), whose sum is σ = 4959261084. Its totient is φ = 853206144.

The previous prime is 2133015439. The next prime is 2133015497. The reversal of 2133015440 is 445103312.

It can be written as a sum of positive squares in 2 ways, for example, as 1225560064 + 907455376 = 35008^2 + 30124^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13331267 + ... + 13331426.

Almost surely, 22133015440 is an apocalyptic number.

2133015440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133015440 is an abundant number, since it is smaller than the sum of its proper divisors (2826245644).

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

2133015440 is a wasteful number, since it uses less digits than its factorization.

2133015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26662706 (or 26662700 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2133015440 is about 46184.5801106820. The cubic root of 2133015440 is about 1287.2552340814.

Adding to 2133015440 its reverse (445103312), we get a palindrome (2578118752).

The spelling of 2133015440 in words is "two billion, one hundred thirty-three million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26662693 53325386 106650772 133313465 213301544 266626930 426603088 533253860 1066507720 2133015440