Search a number
-
+
11222046 = 23211192157
BaseRepresentation
bin101010110011…
…110000011110
3210010010202100
4222303300132
510333101141
61040305530
7164246223
oct52636036
923103670
1011222046
116375320
1239122a6
13242bb84
1416c194a
15eba0b6
hexab3c1e

11222046 has 72 divisors (see below), whose sum is σ = 28172664. Its totient is φ = 3201120.

The previous prime is 11222041. The next prime is 11222051. The reversal of 11222046 is 64022211.

It is an interprime number because it is at equal distance from previous prime (11222041) and next prime (11222051).

It is a super-2 number, since 2×112220462 = 251868632852232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71400 + ... + 71556.

It is an arithmetic number, because the mean of its divisors is an integer number (391287).

Almost surely, 211222046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086332).

11222046 is an abundant number, since it is smaller than the sum of its proper divisors (16950618).

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

11222046 is a wasteful number, since it uses less digits than its factorization.

11222046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11222046 is about 3349.9322381206. The cubic root of 11222046 is about 223.8844934888.

Adding to 11222046 its reverse (64022211), we get a palindrome (75244257).

The spelling of 11222046 in words is "eleven million, two hundred twenty-two thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 157 171 198 209 314 342 361 418 471 627 722 942 1083 1254 1413 1727 1881 2166 2826 2983 3249 3454 3762 3971 5181 5966 6498 7942 8949 10362 11913 15543 17898 23826 26847 31086 32813 35739 53694 56677 65626 71478 98439 113354 170031 196878 295317 340062 510093 590634 623447 1020186 1246894 1870341 3740682 5611023 11222046