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2312300020 = 2252293131613
BaseRepresentation
bin1000100111010010…
…1110010111110100
312222011000000022111
42021310232113310
514213422100040
61021240340404
7111205140322
oct21164562764
95864000274
102312300020
11a87262258
12546474704
132ab090884
1417d150d12
15d8000dea
hex89d2e5f4

2312300020 has 48 divisors (see below), whose sum is σ = 4895649360. Its totient is φ = 917369856.

The previous prime is 2312299993. The next prime is 2312300027. The reversal of 2312300020 is 200032132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23251684 + 2289048336 = 4822^2 + 47844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312300027) 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 15 ways as a sum of consecutive naturals, for example, 1432734 + ... + 1434346.

It is an arithmetic number, because the mean of its divisors is an integer number (101992695).

Almost surely, 22312300020 is an apocalyptic number.

2312300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312300020 is an abundant number, since it is smaller than the sum of its proper divisors (2583349340).

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

2312300020 is a wasteful number, since it uses less digits than its factorization.

2312300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2312300020 is about 48086.3808161937. The cubic root of 2312300020 is about 1322.3549978421.

Adding to 2312300020 its reverse (200032132), we get a palindrome (2512332152).

The spelling of 2312300020 in words is "two billion, three hundred twelve million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 229 313 458 626 916 1145 1252 1565 1613 2290 3130 3226 4580 6260 6452 8065 16130 32260 71677 143354 286708 358385 369377 504869 716770 738754 1009738 1433540 1477508 1846885 2019476 2524345 3693770 5048690 7387540 10097380 115615001 231230002 462460004 578075005 1156150010 2312300020