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2041224012 = 2232479118373
BaseRepresentation
bin111100110101010…
…1001101101001100
312021020220220221100
41321222221231030
513140023132022
6534314303100
7101404055262
oct17152515514
95236826840
102041224012
119582438a3
1248b727a90
13266b7c079
1415514a432
15be3071ac
hex79aa9b4c

2041224012 has 36 divisors (see below), whose sum is σ = 5170576320. Its totient is φ = 678981792.

The previous prime is 2041223999. The next prime is 2041224019. The reversal of 2041224012 is 2104221402.

2041224012 is a `hidden beast` number, since 2 + 0 + 412 + 240 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20412240122 = 8333190934330752288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2041224019) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41943 + ... + 76430.

It is an arithmetic number, because the mean of its divisors is an integer number (143627120).

Almost surely, 22041224012 is an apocalyptic number.

It is an amenable number.

2041224012 is an abundant number, since it is smaller than the sum of its proper divisors (3129352308).

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

2041224012 is a wasteful number, since it uses less digits than its factorization.

2041224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118862 (or 118857 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2041224012 is about 45179.9071712194. The cubic root of 2041224012 is about 1268.5187458773.

Adding to 2041224012 its reverse (2104221402), we get a palindrome (4145445414).

The spelling of 2041224012 in words is "two billion, forty-one million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1437 1916 2874 4311 5748 8622 17244 118373 236746 355119 473492 710238 1065357 1420476 2130714 4261428 56700667 113401334 170102001 226802668 340204002 510306003 680408004 1020612006 2041224012