Search a number
-
+
2302230200 = 2352731371151
BaseRepresentation
bin1000100100111001…
…0011111010111000
312221110001102010012
42021032103322320
514203332331300
61020240441052
7111023430254
oct21116237270
95843042105
102302230200
11a81604696
12543019188
132a8c762ba
1417ba8d264
15d71b2435
hex89393eb8

2302230200 has 96 divisors (see below), whose sum is σ = 5470364160. Its totient is φ = 900864000.

The previous prime is 2302230199. The next prime is 2302230233. The reversal of 2302230200 is 20322032.

2302230200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999625 + ... + 2000775.

It is an arithmetic number, because the mean of its divisors is an integer number (56982960).

Almost surely, 22302230200 is an apocalyptic number.

2302230200 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 2302230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735182080).

2302230200 is an abundant number, since it is smaller than the sum of its proper divisors (3168133960).

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

2302230200 is a wasteful number, since it uses less digits than its factorization.

2302230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2302230200 is about 47981.5610417168. The cubic root of 2302230200 is about 1320.4326329050.

Adding to 2302230200 its reverse (20322032), we get a palindrome (2322552232).

It can be divided in two parts, 2302 and 230200, that multiplied together give a square (529920400 = 230202).

The spelling of 2302230200 in words is "two billion, three hundred two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1096 1151 1370 1460 1825 2302 2740 2920 3425 3650 4604 5480 5755 6850 7300 9208 10001 11510 13700 14600 20002 23020 27400 28775 40004 46040 50005 57550 80008 84023 100010 115100 157687 168046 200020 230200 250025 315374 336092 400040 420115 500050 630748 672184 788435 840230 1000100 1261496 1576870 1680460 2000200 2100575 3153740 3360920 3942175 4201150 6307480 7884350 8402300 11511151 15768700 16804600 23022302 31537400 46044604 57555755 92089208 115111510 230223020 287778775 460446040 575557550 1151115100 2302230200