Search a number
-
+
22110330 = 2351126091
BaseRepresentation
bin101010001011…
…0000001111010
31112121022200010
41110112001322
521130012310
62105522350
7355635414
oct124260172
945538603
1022110330
1111531900
1274a33b6
134771b48
142d179b4
151e1b320
hex151607a

22110330 has 48 divisors (see below), whose sum is σ = 58336992. Its totient is φ = 5359200.

The previous prime is 22110317. The next prime is 22110331. The reversal of 22110330 is 3301122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22110331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 585 + ... + 6675.

It is an arithmetic number, because the mean of its divisors is an integer number (1215354).

Almost surely, 222110330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29168496).

22110330 is an abundant number, since it is smaller than the sum of its proper divisors (36226662).

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

22110330 is a wasteful number, since it uses less digits than its factorization.

22110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 22110330 is about 4702.1622685739. The cubic root of 22110330 is about 280.6715597933.

Adding to 22110330 its reverse (3301122), we get a palindrome (25411452).

The spelling of 22110330 in words is "twenty-two million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 6091 12182 18273 30455 36546 60910 67001 91365 134002 182730 201003 335005 402006 670010 737011 1005015 1474022 2010030 2211033 3685055 4422066 7370110 11055165 22110330