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2004422031 = 34227109013
BaseRepresentation
bin111011101111001…
…0000110110001111
312011200200012010000
41313132100312033
513101113001111
6530521415343
7100446210003
oct16736206617
95150605100
102004422031
11939497a37
1247b33a553
1325c365051
141502ca703
15bae87c56
hex77790d8f

2004422031 has 20 divisors (see below), whose sum is σ = 3007478232. Its totient is φ = 1330382448.

The previous prime is 2004422003. The next prime is 2004422033. The reversal of 2004422031 is 1302244002.

2004422031 is a `hidden beast` number, since 20 + 0 + 442 + 203 + 1 = 666.

It is not a de Polignac number, because 2004422031 - 219 = 2003897743 is a prime.

It is a super-2 number, since 2×20044220312 = 8035415356716329922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2004421995 and 2004422013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004422033) 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 19 ways as a sum of consecutive naturals, for example, 36120 + ... + 72893.

Almost surely, 22004422031 is an apocalyptic number.

2004422031 is a deficient number, since it is larger than the sum of its proper divisors (1003056201).

2004422031 is a wasteful number, since it uses less digits than its factorization.

2004422031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109252 (or 109243 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004422031 is about 44770.7720616922. The cubic root of 2004422031 is about 1260.8489346980.

Adding to 2004422031 its reverse (1302244002), we get a palindrome (3306666033).

The spelling of 2004422031 in words is "two billion, four million, four hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 27 81 227 681 2043 6129 18387 109013 327039 981117 2943351 8830053 24745951 74237853 222713559 668140677 2004422031