Search a number
-
+
2300202020 = 2251129101869
BaseRepresentation
bin1000100100011010…
…0100110000100100
312221022020100222102
42021012210300210
514202322431040
61020125151232
7111000252224
oct21106446044
95838210872
102300202020
11a80449906
125423bb518
132a87160ac
1417b6c2084
15d6e11515
hex891a4c24

2300202020 has 24 divisors (see below), whose sum is σ = 4834750200. Its totient is φ = 919256832.

The previous prime is 2300202013. The next prime is 2300202059. The reversal of 2300202020 is 202020032.

It can be written as a sum of positive squares in 4 ways, for example, as 9048064 + 2291153956 = 3008^2 + 47866^2 .

2300202020 is a modest number, since divided by 202020 gives 2300 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2300201992 and 2300202010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28355 + ... + 73514.

It is an arithmetic number, because the mean of its divisors is an integer number (201447925).

Almost surely, 22300202020 is an apocalyptic number.

2300202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300202020 is an abundant number, since it is smaller than the sum of its proper divisors (2534548180).

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

2300202020 is a wasteful number, since it uses less digits than its factorization.

2300202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103007 (or 103005 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2300202020 is about 47960.4213909761. The cubic root of 2300202020 is about 1320.0447681480.

Adding to 2300202020 its reverse (202020032), we get a palindrome (2502222052).

The spelling of 2300202020 in words is "two billion, three hundred million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 1129 2258 4516 5645 11290 22580 101869 203738 407476 509345 1018690 2037380 115010101 230020202 460040404 575050505 1150101010 2300202020