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2032000146 = 2321110262627
BaseRepresentation
bin111100100011101…
…1101110010010010
312020121120022011200
41321013131302102
513130143001041
6533344452030
7101232500451
oct17107356222
95217508150
102032000146
11953013870
1248861a016
13264c9c867
14153c28b98
15bd5d41b6
hex791ddc92

2032000146 has 24 divisors (see below), whose sum is σ = 4802909904. Its totient is φ = 615757560.

The previous prime is 2032000129. The next prime is 2032000147. The reversal of 2032000146 is 6410002302.

It is a happy number.

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 (2032000147) 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, 5131116 + ... + 5131511.

It is an arithmetic number, because the mean of its divisors is an integer number (200121246).

Almost surely, 22032000146 is an apocalyptic number.

2032000146 is an abundant number, since it is smaller than the sum of its proper divisors (2770909758).

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

2032000146 is a wasteful number, since it uses less digits than its factorization.

2032000146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262646 (or 10262643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2032000146 is about 45077.7122977642. The cubic root of 2032000146 is about 1266.6051366079.

Adding to 2032000146 its reverse (6410002302), we get a palindrome (8442002448).

The spelling of 2032000146 in words is "two billion, thirty-two million, one hundred forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10262627 20525254 30787881 61575762 92363643 112888897 184727286 225777794 338666691 677333382 1016000073 2032000146