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2005442232 = 23383560093
BaseRepresentation
bin111011110001000…
…1001111010111000
312011202121000120020
41313202021322320
513101343122412
6530555330440
7100460656233
oct16742117270
95152530506
102005442232
1193a024482
1247b750a20
1325c631511
141504b441a
15bb0da18c
hex77889eb8

2005442232 has 16 divisors (see below), whose sum is σ = 5013605640. Its totient is φ = 668480736.

The previous prime is 2005442221. The next prime is 2005442237. The reversal of 2005442232 is 2322445002.

It is a happy number.

It is a super-3 number, since 3×20054422323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 83560093 = 2005442232 / (2 + 0 + 0 + 5 + 4 + 4 + 2 + 2 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005442237) 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 3 ways as a sum of consecutive naturals, for example, 41780023 + ... + 41780070.

Almost surely, 22005442232 is an apocalyptic number.

It is an amenable number.

2005442232 is an abundant number, since it is smaller than the sum of its proper divisors (3008163408).

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

2005442232 is a wasteful number, since it uses less digits than its factorization.

2005442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83560102 (or 83560098 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2005442232 is about 44782.1642174650. The cubic root of 2005442232 is about 1261.0628120071.

Adding to 2005442232 its reverse (2322445002), we get a palindrome (4327887234).

The spelling of 2005442232 in words is "two billion, five million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83560093 167120186 250680279 334240372 501360558 668480744 1002721116 2005442232