Search a number
-
+
2012223330 = 2335133118493
BaseRepresentation
bin111011111110000…
…0001011101100010
312012020100112111000
41313330001131202
513110112121310
6531400532430
7100602421215
oct16774013542
95166315430
102012223330
11942936197
12481a81116
13260b66bc0
1415135b77c
15bb9c94c0
hex77f01762

2012223330 has 128 divisors (see below), whose sum is σ = 5965424640. Its totient is φ = 479312640.

The previous prime is 2012223307. The next prime is 2012223331. The reversal of 2012223330 is 333222102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012223331) 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, 99564 + ... + 118056.

It is an arithmetic number, because the mean of its divisors is an integer number (46604880).

Almost surely, 22012223330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982712320).

2012223330 is an abundant number, since it is smaller than the sum of its proper divisors (3953201310).

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

2012223330 is a wasteful number, since it uses less digits than its factorization.

2012223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18553 (or 18547 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2012223330 is about 44857.8123630656. The cubic root of 2012223330 is about 1262.4825770232.

Adding to 2012223330 its reverse (333222102), we get a palindrome (2345445432).

The spelling of 2012223330 in words is "two billion, twelve million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 702 806 837 930 1170 1209 1395 1674 1755 2015 2418 2790 3510 3627 4030 4185 6045 7254 8370 10881 12090 18135 18493 21762 36270 36986 54405 55479 92465 108810 110958 166437 184930 240409 277395 332874 480818 499311 554790 573283 721227 832185 998622 1146566 1202045 1442454 1664370 1719849 2163681 2404090 2496555 2866415 3439698 3606135 4327362 4993110 5159547 5732830 6491043 7212270 7452679 8599245 10319094 10818405 12982086 14905358 15478641 17198490 21636810 22358037 25797735 30957282 32455215 37263395 44716074 51595470 64910430 67074111 74526790 77393205 111790185 134148222 154786410 201222333 223580370 335370555 402444666 670741110 1006111665 2012223330