Search a number
-
+
2300355330 = 235713264817
BaseRepresentation
bin1000100100011100…
…1010001100000010
312221022112011021120
42021013022030002
514202342332310
61020132333110
7111001461210
oct21107121402
95838464246
102300355330
11a80544009
12542474196
132a876ab00
1417b721cb0
15d6e41b70
hex891ca302

2300355330 has 96 divisors (see below), whose sum is σ = 6832335744. Its totient is φ = 485342208.

The previous prime is 2300355329. The next prime is 2300355353. The reversal of 2300355330 is 335530032.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2300355330.

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 47 ways as a sum of consecutive naturals, for example, 3082 + ... + 67898.

It is an arithmetic number, because the mean of its divisors is an integer number (71170164).

Almost surely, 22300355330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300355330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416167872).

2300355330 is an abundant number, since it is smaller than the sum of its proper divisors (4531980414).

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

2300355330 is a wasteful number, since it uses less digits than its factorization.

2300355330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64860 (or 64847 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 24.

The square root of 2300355330 is about 47962.0196613946. The cubic root of 2300355330 is about 1320.0740947848.

Adding to 2300355330 its reverse (335530032), we get a palindrome (2635885362).

The spelling of 2300355330 in words is "two billion, three hundred million, three hundred fifty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 7098 11830 17745 35490 64817 129634 194451 324085 388902 453719 648170 842621 907438 972255 1361157 1685242 1944510 2268595 2527863 2722314 4213105 4537190 5055726 5898347 6805785 8426210 10954073 11796694 12639315 13611570 17695041 21908146 25278630 29491735 32862219 35390082 54770365 58983470 65724438 76678511 88475205 109540730 153357022 164311095 176950410 230035533 328622190 383392555 460071066 766785110 1150177665 2300355330