Search a number
-
+
11223090 = 2335197211
BaseRepresentation
bin101010110100…
…000000110010
3210010012012000
4222310000302
510333114330
61040314430
7164252244
oct52640062
923105160
1011223090
11637608a
123912a16
13242c4a8
1416c2094
15eba560
hexab4032

11223090 has 64 divisors (see below), whose sum is σ = 30222720. Its totient is φ = 2963520.

The previous prime is 11223073. The next prime is 11223097. The reversal of 11223090 is 9032211.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11223097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53085 + ... + 53295.

It is an arithmetic number, because the mean of its divisors is an integer number (472230).

Almost surely, 211223090 is an apocalyptic number.

11223090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11223090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111360).

11223090 is an abundant number, since it is smaller than the sum of its proper divisors (18999630).

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

11223090 is a wasteful number, since it uses less digits than its factorization.

11223090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11223090 is about 3350.0880585441. The cubic root of 11223090 is about 223.8914360185.

The spelling of 11223090 in words is "eleven million, two hundred twenty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 197 211 270 394 422 591 633 985 1055 1182 1266 1773 1899 1970 2110 2955 3165 3546 3798 5319 5697 5910 6330 8865 9495 10638 11394 17730 18990 26595 28485 41567 53190 56970 83134 124701 207835 249402 374103 415670 623505 748206 1122309 1247010 1870515 2244618 3741030 5611545 11223090