Search a number
-
+
2424400002 = 232134688889
BaseRepresentation
bin1001000010000001…
…0110100010000010
320020221221021120200
42100200112202002
514431121300002
61040323150030
7114036026403
oct22040264202
96227837520
102424400002
111034568672
12577b15316
132c837ca1b
1418ddb19aa
15e2c95b1c
hex90816882

2424400002 has 12 divisors (see below), whose sum is σ = 5252866710. Its totient is φ = 808133328.

The previous prime is 2424399977. The next prime is 2424400021. The reversal of 2424400002 is 2000044242.

It can be written as a sum of positive squares in only one way, i.e., 1637092521 + 787307481 = 40461^2 + 28059^2 .

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: 134688889 = 2424400002 / (2 + 4 + 2 + 4 + 4 + 0 + 0 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67344427 + ... + 67344462.

Almost surely, 22424400002 is an apocalyptic number.

2424400002 is an abundant number, since it is smaller than the sum of its proper divisors (2828466708).

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

2424400002 is a wasteful number, since it uses less digits than its factorization.

2424400002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134688897 (or 134688894 counting only the distinct ones).

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

The square root of 2424400002 is about 49238.1965754230. The cubic root of 2424400002 is about 1343.3878782735.

Adding to 2424400002 its reverse (2000044242), we get a palindrome (4424444244).

The spelling of 2424400002 in words is "two billion, four hundred twenty-four million, four hundred thousand, two".

Divisors: 1 2 3 6 9 18 134688889 269377778 404066667 808133334 1212200001 2424400002