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2001422934 = 232722339739
BaseRepresentation
bin111011101001011…
…0100101001010110
312011111000211010100
41313102310221112
513044331013214
6530333234530
7100411546200
oct16722645126
95144024110
102001422934
11937829745
1247a332a46
1325b854c34
1414db49770
15baa94309
hex774b4a56

2001422934 has 72 divisors (see below), whose sum is σ = 5066572680. Its totient is φ = 569322432.

The previous prime is 2001422933. The next prime is 2001422939. The reversal of 2001422934 is 4392241002.

2001422934 is a `hidden beast` number, since 200 + 1 + 422 + 9 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2001422898 and 2001422907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001422933) 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 35 ways as a sum of consecutive naturals, for example, 200637 + ... + 210375.

It is an arithmetic number, because the mean of its divisors is an integer number (70369065).

Almost surely, 22001422934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001422934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533286340).

2001422934 is an abundant number, since it is smaller than the sum of its proper divisors (3065149746).

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

2001422934 is a wasteful number, since it uses less digits than its factorization.

2001422934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2001422934 is about 44737.2656070976. The cubic root of 2001422934 is about 1260.2197764779.

Adding to 2001422934 its reverse (4392241002), we get a palindrome (6393663936).

The spelling of 2001422934 in words is "two billion, one million, four hundred twenty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 233 294 441 466 699 882 1398 1631 2097 3262 4194 4893 9739 9786 11417 14679 19478 22834 29217 29358 34251 58434 68173 68502 87651 102753 136346 175302 204519 205506 409038 477211 613557 954422 1227114 1431633 2269187 2863266 4294899 4538374 6807561 8589798 13615122 15884309 20422683 31768618 40845366 47652927 95305854 111190163 142958781 222380326 285917562 333570489 667140978 1000711467 2001422934