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2004422329 = 71327198101
BaseRepresentation
bin111011101111001…
…0000111010111001
312011200200012112001
41313132100322321
513101113003304
6530521421001
7100446210610
oct16736207271
95150605461
102004422329
11939498188
1247b33a761
1325c365220
141502ca877
15bae87da4
hex77790eb9

2004422329 has 16 divisors (see below), whose sum is σ = 2468193280. Its totient is φ = 1585137600.

The previous prime is 2004422279. The next prime is 2004422369. The reversal of 2004422329 is 9232244002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2004422329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2004422297 and 2004422306.

It is not an unprimeable number, because it can be changed into a prime (2004422369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243379 + ... + 251479.

It is an arithmetic number, because the mean of its divisors is an integer number (154262080).

Almost surely, 22004422329 is an apocalyptic number.

It is an amenable number.

2004422329 is a deficient number, since it is larger than the sum of its proper divisors (463770951).

2004422329 is a wasteful number, since it uses less digits than its factorization.

2004422329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10840.

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2004422329 is about 44770.7753897562. The cubic root of 2004422329 is about 1260.8489971820.

The spelling of 2004422329 in words is "two billion, four million, four hundred twenty-two thousand, three hundred twenty-nine".

Divisors: 1 7 13 91 2719 8101 19033 35347 56707 105313 247429 737191 22026619 154186333 286346047 2004422329