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2004022044 = 2232167333337
BaseRepresentation
bin111011101110010…
…1111001100011100
312011122220212102200
41313130233030130
513101012201134
6530505051500
7100442622603
oct16734571434
95148825380
102004022044
11939244472
1247b186b90
1325c254c7b
14150224a3a
15bae09499
hex7772f31c

2004022044 has 36 divisors (see below), whose sum is σ = 5096071344. Its totient is φ = 664005312.

The previous prime is 2004022043. The next prime is 2004022079. The reversal of 2004022044 is 4402204002.

2004022044 is a `hidden beast` number, since 200 + 402 + 20 + 44 = 666.

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

It is a super-2 number, since 2×20040220442 = 8032208705675875872, which contains 22 as substring.

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

2004022044 is a modest number, since divided by 22044 gives 2004 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004022043) 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 11 ways as a sum of consecutive naturals, for example, 160657 + ... + 172680.

Almost surely, 22004022044 is an apocalyptic number.

It is an amenable number.

2004022044 is an abundant number, since it is smaller than the sum of its proper divisors (3092049300).

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

2004022044 is a wasteful number, since it uses less digits than its factorization.

2004022044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333514 (or 333509 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2004022044 is about 44766.3047838438. The cubic root of 2004022044 is about 1260.7650606892.

Adding to 2004022044 its reverse (4402204002), we get a palindrome (6406226046).

The spelling of 2004022044 in words is "two billion, four million, twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 668 1002 1503 2004 3006 6012 333337 666674 1000011 1333348 2000022 3000033 4000044 6000066 12000132 55667279 111334558 167001837 222669116 334003674 501005511 668007348 1002011022 2004022044