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2424022002 = 232134667889
BaseRepresentation
bin1001000001111011…
…1010001111110010
320020221020002001200
42100132322033302
514431022201002
61040311112030
7114032563353
oct22036721762
96227202050
102424022002
11103432a676
12577972616
132c827995c
1418dd13d2a
15e2c1db1c
hex907ba3f2

2424022002 has 12 divisors (see below), whose sum is σ = 5252047710. Its totient is φ = 808007328.

The previous prime is 2424022001. The next prime is 2424022009. The reversal of 2424022002 is 2002204242.

2424022002 is a `hidden beast` number, since 242 + 402 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1423628361 + 1000393641 = 37731^2 + 31629^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 134667889 = 2424022002 / (2 + 4 + 2 + 4 + 0 + 2 + 2 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (2424022001) 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 5 ways as a sum of consecutive naturals, for example, 67333927 + ... + 67333962.

Almost surely, 22424022002 is an apocalyptic number.

2424022002 is an abundant number, since it is smaller than the sum of its proper divisors (2828025708).

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

2424022002 is a wasteful number, since it uses less digits than its factorization.

2424022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134667897 (or 134667894 counting only the distinct ones).

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

The square root of 2424022002 is about 49234.3579423963. The cubic root of 2424022002 is about 1343.3180565979.

Adding to 2424022002 its reverse (2002204242), we get a palindrome (4426226244).

The spelling of 2424022002 in words is "two billion, four hundred twenty-four million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 134667889 269335778 404003667 808007334 1212011001 2424022002