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3000142224 = 243220834321
BaseRepresentation
bin1011001011010010…
…1000100110010000
321202002022000102200
42302310220212100
522121014022344
61213411243200
7134226534222
oct26264504620
97662260380
103000142224
1112aa558292
126b88a9500
1338a7341b1
14206642412
151285c1069
hexb2d28990

3000142224 has 30 divisors (see below), whose sum is σ = 8396231766. Its totient is φ = 1000047360.

The previous prime is 3000142213. The next prime is 3000142253. The reversal of 3000142224 is 4222410003.

3000142224 is a `hidden beast` number, since 300 + 0 + 142 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2999533824 + 608400 = 54768^2 + 780^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3000142197 and 3000142206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10417017 + ... + 10417304.

Almost surely, 23000142224 is an apocalyptic number.

It is an amenable number.

3000142224 is an abundant number, since it is smaller than the sum of its proper divisors (5396089542).

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

3000142224 is a wasteful number, since it uses less digits than its factorization.

3000142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20834335 (or 20834326 counting only the distinct ones).

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

The square root of 3000142224 is about 54773.5540566796. The cubic root of 3000142224 is about 1442.2723613365.

Adding to 3000142224 its reverse (4222410003), we get a palindrome (7222552227).

The spelling of 3000142224 in words is "three billion, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 20834321 41668642 62502963 83337284 125005926 166674568 187508889 250011852 333349136 375017778 500023704 750035556 1000047408 1500071112 3000142224