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2300002002 = 232635320113
BaseRepresentation
bin1000100100010111…
…0011111011010010
312221021212012121100
42021011303323102
514202300031002
61020121005230
7110665460124
oct21105637322
95837765540
102300002002
11a80322601
12542323816
132a867603c
1417b66d214
15d6dc211c
hex89173ed2

2300002002 has 24 divisors (see below), whose sum is σ = 4984369884. Its totient is φ = 766508544.

The previous prime is 2300001983. The next prime is 2300002007. The reversal of 2300002002 is 2002000032.

2300002002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2114252361 + 185749641 = 45981^2 + 13629^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2300002007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104298 + ... + 124410.

Almost surely, 22300002002 is an apocalyptic number.

2300002002 is an abundant number, since it is smaller than the sum of its proper divisors (2684367882).

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

2300002002 is a wasteful number, since it uses less digits than its factorization.

2300002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26474 (or 26471 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2300002002 is about 47958.3361054155. The cubic root of 2300002002 is about 1320.0065047889.

Adding to 2300002002 its reverse (2002000032), we get a palindrome (4302002034).

The spelling of 2300002002 in words is "two billion, three hundred million, two thousand, two".

Divisors: 1 2 3 6 9 18 6353 12706 19059 20113 38118 40226 57177 60339 114354 120678 181017 362034 127777889 255555778 383333667 766667334 1150001001 2300002002