Search a number
-
+
2320200020232 = 233232225000281
BaseRepresentation
bin100001110000110110101…
…100101011000100001000
322012210211201200020010200
4201300312230223010020
5301003232201121412
64533515110412200
7326425501524603
oct41606654530410
98183751606120
102320200020232
11814a9a473286
12315806361060
1313aa42331173
14804266a333a
1540548c679dc
hex21c36b2b108

2320200020232 has 24 divisors (see below), whose sum is σ = 6283875054990. Its totient is φ = 773400006720.

The previous prime is 2320200020231. The next prime is 2320200020239.

2320200020232 is a `hidden beast` number, since 232 + 0 + 200 + 0 + 2 + 0 + 232 = 666.

2320200020232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1899121023396 + 421078996836 = 1378086^2 + 648906^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (2320200020231) 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, 16112500069 + ... + 16112500212.

Almost surely, 22320200020232 is an apocalyptic number.

It is an amenable number.

2320200020232 is an abundant number, since it is smaller than the sum of its proper divisors (3963675034758).

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

2320200020232 is a wasteful number, since it uses less digits than its factorization.

2320200020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32225000293 (or 32225000286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 23202000 and 20232, that added together give a palindrome (23222232).

The spelling of 2320200020232 in words is "two trillion, three hundred twenty billion, two hundred million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32225000281 64450000562 96675000843 128900001124 193350001686 257800002248 290025002529 386700003372 580050005058 773400006744 1160100010116 2320200020232