Search a number
-
+
2300012220 = 2235118114297
BaseRepresentation
bin1000100100010111…
…0110011010111100
312221021212201121210
42021011312122330
514202300342340
61020121124420
7110665531662
oct21105663274
95837781553
102300012220
11a8032a250
12542329710
132a867a89c
1417b672c32
15d6dc5180
hex891766bc

2300012220 has 96 divisors (see below), whose sum is σ = 7035791616. Its totient is φ = 556761600.

The previous prime is 2300012191. The next prime is 2300012261. The reversal of 2300012220 is 222100032.

2300012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2300012196 and 2300012205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533112 + ... + 537408.

It is an arithmetic number, because the mean of its divisors is an integer number (73289496).

Almost surely, 22300012220 is an apocalyptic number.

2300012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517895808).

2300012220 is an abundant number, since it is smaller than the sum of its proper divisors (4735779396).

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

2300012220 is a wasteful number, since it uses less digits than its factorization.

2300012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2300012220 is about 47958.4426352650. The cubic root of 2300012220 is about 1320.0084595417.

Adding to 2300012220 its reverse (222100032), we get a palindrome (2522112252).

It can be divided in two parts, 230001 and 2220, that added together give a triangular number (232221 = T681).

The spelling of 2300012220 in words is "two billion, three hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 811 1622 2433 3244 4055 4297 4866 8110 8594 8921 9732 12165 12891 16220 17188 17842 21485 24330 25782 26763 35684 42970 44605 47267 48660 51564 53526 64455 85940 89210 94534 107052 128910 133815 141801 178420 189068 236335 257820 267630 283602 472670 535260 567204 709005 945340 1418010 2836020 3484867 6969734 10454601 13939468 17424335 20909202 34848670 38333537 41818404 52273005 69697340 76667074 104546010 115000611 153334148 191667685 209092020 230001222 383335370 460002444 575003055 766670740 1150006110 2300012220