Search a number
-
+
2102200230 = 23513231311789
BaseRepresentation
bin111110101001101…
…0000011110100110
312102111122211120210
41331103100132212
513301130401410
6544333240250
7103044256434
oct17523203646
95374584523
102102200230
11989701169
124a8033086
132766ab480
1415d29dd54
15c484e220
hex7d4d07a6

2102200230 has 128 divisors (see below), whose sum is σ = 5716085760. Its totient is φ = 490913280.

The previous prime is 2102200213. The next prime is 2102200231. The reversal of 2102200230 is 320022012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102200231) 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 63 ways as a sum of consecutive naturals, for example, 1174176 + ... + 1175964.

It is an arithmetic number, because the mean of its divisors is an integer number (44656920).

Almost surely, 22102200230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102200230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858042880).

2102200230 is an abundant number, since it is smaller than the sum of its proper divisors (3613885530).

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

2102200230 is a wasteful number, since it uses less digits than its factorization.

2102200230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966.

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

The square root of 2102200230 is about 45849.7571422140. The cubic root of 2102200230 is about 1281.0262420117.

Adding to 2102200230 its reverse (320022012), we get a palindrome (2422222242).

The spelling of 2102200230 in words is "two billion, one hundred two million, two hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 131 138 195 230 262 299 345 390 393 598 655 690 786 897 1310 1495 1703 1789 1794 1965 2990 3013 3406 3578 3930 4485 5109 5367 6026 8515 8945 8970 9039 10218 10734 15065 17030 17890 18078 23257 25545 26835 30130 39169 41147 45195 46514 51090 53670 69771 78338 82294 90390 116285 117507 123441 139542 195845 205735 232570 234359 235014 246882 348855 391690 411470 468718 534911 587535 617205 697710 703077 1069822 1171795 1175070 1234410 1406154 1604733 2343590 2674555 3046667 3209466 3515385 5349110 5390257 6093334 7030770 8023665 9140001 10780514 15233335 16047330 16170771 18280002 26951285 30466670 32341542 45700005 53902570 70073341 80853855 91400010 140146682 161707710 210220023 350366705 420440046 700733410 1051100115 2102200230